The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10 12  0  0
 0  1  3  6  5  1 12 15  1 10  9  1  2  2  2
 0  0  8  0  0  8  8  0  0  8  8  0  8  0  0
 0  0  0  8  0  8  8  8  8  0  8  0  8  0  8
 0  0  0  0  8  8  8  8  0  8  0  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+95x^12+128x^13+672x^14+256x^15+687x^16+128x^17+64x^18+16x^20+1x^28

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 0.0775 seconds.