The generator matrix

 1  1  1  1  1  1  1  2  8  1  2  2  4  2  0  2
 0  2  0  6  4 14 12 14  2 14  6 10  8  8  8  0
 0  0 12  0  4  4  8 12  4  4  0  8  4  4  4  0
 0  0  0  8  0  0  8  0  8  0  8  8  0  8  0  0
 0  0  0  0  8  0  0  0  8  8  8  8  8  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+44x^12+122x^13+270x^14+394x^15+399x^16+388x^17+268x^18+116x^19+32x^20+2x^21+6x^22+2x^23+4x^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 0.0151 seconds.