The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+250x^12+1048x^13+3048x^14+6848x^15+10311x^16+6992x^17+3040x^18+960x^19+222x^20+24x^21+24x^22

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 3.75 seconds.