The generator matrix

 1  0  0  1  1  1  2  1  1  1 14  4  4  1  1  1
 0  1  0  4  5  1  1  2 15 14  2  1  1  5 13 11
 0  0  1  7  3  4  1  2  5  1  1  2  1  6  2  4
 0  0  0  8  0  0  0  0  8  8  8  8  0  0  8  0
 0  0  0  0  8  0  0  8  8  8  0  8  8  0  0  0
 0  0  0  0  0  8  0  8  8  0  8  0  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+284x^12+800x^13+3964x^14+4832x^15+13017x^16+4832x^17+3960x^18+800x^19+260x^20+12x^22+6x^24

The gray image is a code over GF(2) with n=128, k=15 and d=48.
This code was found by Heurico 1.16 in 24.3 seconds.