The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+83x^12+16x^13+106x^14+608x^15+126x^16+16x^17+52x^18+13x^20+2x^22+1x^24

The gray image is a code over GF(2) with n=120, k=10 and d=48.
This code was found by Heurico 1.16 in 0.0196 seconds.