BK polyomavirus (BKPyV) is a human DNA virus generally divided into twelve subgroups based on the genetic diversity of Viral Protein 1 (VP1). BKPyV can cause polyomavirus-associated nephropathy (PVAN) after kidney transplantation. Detection of BKPyV DNA in blood (viremia) is a source of concern and increase in plasma viral load is associated with a higher risk of developing PVAN. In this work, we looked for possible associations of specific BKPyV genetic features with higher plasma viral load in kidney transplant patients. We analyzed BKPyV complete genome in three-month samples from kidney recipients who developed viremia during their follow-up period. BKPyV sequences were obtained by next-generation sequencing and were de novo assembled using the new BKAnaLite pipeline. Based on the data from 72 patients, we identified 24 viral groups with unique amino acid sequences: three in the VP1 subgroup IVc2, six in Ib1, ten in Ib2, one in Ia, and four in II. In none of the groups did the mean plasma viral load reach a statistically significant difference from the overall mean observed at three months after transplantation. Further investigation is needed to better understand the link between the newly described BKPyV genetic variants and pathogenicity in kidney transplant recipients.