The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  2  1  1  1
 0  2  0 14  4  6 12  2  0  8  6 12  6  2 14
 0  0 12  4  4  0  8  4  8  4  0 12  8 12  0

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

Homogenous weight enumerator: w(x)=1x^0+52x^13+86x^14+260x^15+63x^16+28x^17+9x^18+12x^19+1x^26

The gray image is a code over GF(2) with n=120, k=9 and d=52.
This code was found by Heurico 1.16 in 0.00231 seconds.