The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+73x^12+32x^13+168x^14+96x^15+1332x^16+96x^17+128x^18+32x^19+79x^20+8x^22+3x^24

The gray image is a code over GF(2) with n=128, k=11 and d=48.
This code was found by Heurico 1.16 in 0.0177 seconds.