String edit distances have been used for decades in applications ranging from spelling correction and web search suggestions to DNA analysis. In short tandem repeat (STR) regions of the genome, motifs of nucleotides 2-6 base pairs long repeat consecutively, and these motifs most often expand and contract as a whole unit. This phenomenon of slippage of the polymerase on the template is referred to as stutter in forensic DNA analysis. String edit distances that only consider single-character edits fail to capture true DNA sequence similarity in STR regions. In forensic applications, stutter appears in vitro as an artifact of the PCR amplification. Forensic DNA analysis now also utilizes data from massively parallel sequencing (MPS) beyond just length-based analysis by capillary electrophoresis data. The algorithm presented here measures distance between sequences, using dynamic programming, that allows the addition or deletion of motifs as a separate edit type from single-nucleotide insertion, deletion, and substitution. Forensic examples are shown, but the applications extend to sequence alignment and string similarity in other biological applications.