The generator matrix

 1  0  1  1  6  1  1  1  4  1  1  2 12  8  2
 0  1  1  6  1 11 13  4  1  2  3 10  0  1 14
 0  0  2  0  8  4 12  2  2 10 14  6  2  2  8
 0  0  0  8  8  0  8  8  8  0  0  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+184x^12+488x^13+706x^14+1352x^15+731x^16+440x^17+156x^18+24x^19+12x^20+2x^22

The gray image is a code over GF(2) with n=120, k=12 and d=48.
This code was found by Heurico 1.16 in 0.0314 seconds.