The limitation period of the criminal action is in the Penal Code (Law 599 of 2000). Article 83 says that, when the penalty is custodial, the criminal action lapses after a period equal to the maximum penalty set by law, not less than five nor more than twenty years, and requires taking into account the substantive circumstances that modify punishability. The special thirty-year rules and the imprescriptibility in that article concern other crimes, not tax crimes. Applied to the three crimes DIAN most often invokes: article 402 (failure to remit withholdings by the withholding or collecting agent) carries prison of 48 to 108 months, that is, a maximum of 9 years; 434A (omitted assets or inclusion of non-existent liabilities, from 1,000 SMMLV), prison of 48 to 108 months, also 9 years; and 434B (tax fraud or evasion, from 100 SMMLV), prison of 36 to 60 months, 5 years. Under 434A and 434B the penalty rises by one third between 2,500 and 5,000 SMMLV and by one half above 5,000 SMMLV, which raises the maximum penalty (DIAN speaks of up to 13.5 years of prison under 434A and 7.5 under 434B) and may affect the term. In addition, article 83 increases the term by one half for those who act as withholding or collecting agents (text from Law 1474 of 2011, art. 14; the increase used to be one third), without exceeding the maximum limit. These are the rules of the text; which one applies to your case and how they combine is for the criminal authority to decide with the file.
The count starts under article 84: for instantaneous offenses, from the day of consummation; for continuing offenses or those that only reach attempt, from the last act; and for omissions, when the duty to act ceases; if several offenses are tried in one proceeding, each term runs separately. Under article 402 the offense is consummated when the amounts are not remitted within the two months following the date set for filing and paying, so the analysis does not start from the filing date but from the end of that period (this is how the Criminal Chamber of the Supreme Court counted it in order AP3711-2018). Under 434A and 434B the amount must be defined by an official assessment (liquidación oficial), so from which date the term runs should not be taken for granted and is reviewed in the file. The limitation period is interrupted by the formal charging hearing (art. 86; to the same effect, art. 292 of Law 906 of 2004); under the text of article 86, the complaint or criminal report is not listed as a cause of interruption. Once interrupted, the term runs again for half of the one set in article 83, with a minimum of five and a maximum of ten years. For all three crimes, moreover, signing a payment agreement with the tax administration suspends the limitation period while it is in force, for no more than five years from signing and until the tax authority declares compliance or breach (paragraph of article 83 added by article 70 of Law 2277 of 2022). And do not confuse this with the finality of the tax return (Tax Code, art. 714, three years as a general rule) or with the limitation of the collection action (Tax Code art. 817, five years): they are tax-law concepts with a different effect and a different count.