The generator matrix

 1  0  0  1  1  1  2  0  1  1  8  1  6  1  4  1
 0  1  0  1  2  3  1  1  8  6  1  5 12  7  1 12
 0  0  1  1  1  4  7  2  6  3 11 14  1 15  2  4
 0  0  0  2  8 10  6 10 10  6 12  0 14 12  6  4

generates a code of length 16 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+204x^12+1166x^13+3046x^14+6492x^15+10925x^16+6580x^17+3012x^18+1104x^19+212x^20+14x^21+6x^22+4x^23+2x^24

The gray image is a code over GF(2) with n=128, k=15 and d=48.
This code was found by Heurico 1.16 in 1.92 seconds.