The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+234x^12+240x^13+1168x^14+1328x^15+2315x^16+1232x^17+1184x^18+272x^19+198x^20+16x^22+4x^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 0.245 seconds.