The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  2  4  2  2  2
 0 12  0  4  0  8 12 12  0  8  8  0  0  4  4  0
 0  0 12  4  0  4  4  8  0  4  4 12 12  4 12  0
 0  0  0  8  0  0  8  0  8  8  0  0  8  0  8  0
 0  0  0  0  8  8  8  8  8  8  8  8  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+39x^12+8x^13+108x^14+184x^15+350x^16+184x^17+96x^18+8x^19+41x^20+4x^22+1x^24

The gray image is a code over GF(2) with n=128, k=10 and d=48.
This code was found by Heurico 1.16 in 0.00596 seconds.