The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+82x^12+16x^13+176x^14+368x^15+770x^16+368x^17+168x^18+16x^19+73x^20+8x^22+1x^24+1x^28

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 0.0176 seconds.