The generator matrix

 1  1  1  1  1  1  1  1  1  2  2 12  2  4  1  2
 0  2  0  2  0  0  6 14  4  4  6  2 10  4  4 14
 0  0  2  2 12  6  6  4  4  2  0  6  6  2  0  4
 0  0  0  8  0  0  8  0  0  8  8  0  8  0  8  0
 0  0  0  0  8  0  8  0  8  8  0  8  8  0  8  8
 0  0  0  0  0  8  0  8  8  0  0  8  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+224x^12+224x^13+1020x^14+1312x^15+2637x^16+1312x^17+1016x^18+224x^19+208x^20+12x^22+2x^24

The gray image is a code over GF(2) with n=128, k=13 and d=48.
This code was found by Heurico 1.16 in 2.4 seconds.