The generator matrix

 1  0  1  1  1 14  1  1  1  6  1  2  1  8  1
 0  1 11 14  5  1  8  3  6  1 13  6  7  2  1
 0  0 12  4  8 12  4  8  0  0  4 12  4  4 12

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

Homogenous weight enumerator: w(x)=1x^0+146x^13+214x^14+364x^15+141x^16+116x^17+26x^18+12x^19+2x^20+2x^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 0.0321 seconds.