The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+110x^12+168x^13+381x^14+736x^15+1329x^16+720x^17+375x^18+160x^19+94x^20+8x^21+11x^22+2x^24+1x^26

The gray image is a code over GF(2) with n=128, k=12 and d=48.
This code was found by Heurico 1.16 in 0.0443 seconds.