The generator matrix

 1  0  1  1  1 14  1  1  1  1 12  8  2  6 10
 0  1 11 14  5  1  8  3  6  1  1  1  2  1  1
 0  0 12  4  8 12  4  8  0 12  0  4  4  0  8

generates a code of length 15 over Z16 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+140x^13+206x^14+372x^15+157x^16+120x^17+18x^18+4x^19+2x^20+4x^21

The gray image is a code over GF(2) with n=120, k=10 and d=52.
This code was found by Heurico 1.16 in 2.03 seconds.