The generator matrix

 1  1  1  1  1  1  1  1  2  0  1  1  2  1  1  2  4  2 12
 0  2  0  6  4  6 12  2  6  2  6  8 14  8  6 12  0  8  2
 0  0 12  0  4  0  0  8  8  4  4  0 12  8  4 12  8  4  8
 0  0  0 12  0  0  8  4  8  4 12  4  8  4  4  0  4 12  8
 0  0  0  0  8  8  8  8  0  0  0  0  8  8  8  0  0  8  0

generates a code of length 19 over Z16 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+142x^15+169x^16+560x^17+600x^18+1158x^19+632x^20+576x^21+96x^22+106x^23+30x^24+16x^25+8x^26+2x^27

The gray image is a code over GF(2) with n=152, k=12 and d=60.
This code was found by Heurico 1.16 in 33.3 seconds.