Hi,
Since this is human data, I recommend you consider QUILT, using the 1000 Genomes reference panel, which includes some KHV samples. Great you have 14 high coverage samples.
If you have time, you could also run STITCH and see how they compare, given you have so many samples.
For both QUILT and STITCH, unfortunately they only take bi-allelic SNPs. So you'd have to remove non-bi-allelic SNPs from your analysis. I believe it is possible to re-impute afterwards using e.g. Beagle or another software if you're very keen on the indels. Apologies that neither QUILT or STITCH support indels. Unfortunately it's not feasible for me to add indel support in the foreseeable future.
Best,
Robbie