The generator matrix

 1  0  1  1  1  6  1  1  8  1  1 10  1  1  4
 0  1 11  6 13  1  7  8  1 10  5  1  3 15  8
 0  0 12  0  4  8 12  4  4  0  0  8  0  8  4
 0  0  0  8  0  8  8  0  8  0  8  8  0  0  0
 0  0  0  0  8  0  8  0  0  8  8  8  0  0  8

generates a code of length 15 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+202x^12+384x^13+960x^14+1024x^15+951x^16+384x^17+160x^18+30x^20

The gray image is a code over GF(2) with n=120, k=12 and d=48.
This code was found by Heurico 1.16 in 0.0375 seconds.