The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^12+280x^13+442x^14+760x^15+1059x^16+736x^17+452x^18+256x^19+44x^20+8x^21+2x^22+8x^23

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 0.0476 seconds.