The generator matrix

 1  0  1  1  1  6  1  1 12  1  1  1  1  4  2
 0  1 11  6 13  1 12  7  1 10  8  1  3  8  6
 0  0 12  0  4  8  8  4  8  8  4 12  0  4  8
 0  0  0  8  8  8  0  0  0  8  8  0  8  0  0

generates a code of length 15 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+102x^12+208x^13+482x^14+464x^15+460x^16+272x^17+36x^18+16x^19+4x^20+2x^22+1x^24

The gray image is a code over GF(2) with n=120, k=11 and d=48.
This code was found by Heurico 1.16 in 0.00979 seconds.