The generator matrix

 1  0  1  1  1 14  1  1  0  1 14  1  1 14  6  1  4  1
 0  1 11  6  1  1  0  3  1 14  1  5 14  1  1  8  8  0
 0  0 12  0  0  0  0  0  0  8  8  4  4 12  8 12  4  0
 0  0  0 12  0  0 12  8 12  8  4  4  4  4  0  0 12  0
 0  0  0  0  4  4 12  8  4 12  0  8  4  4  8  8  4  8
 0  0  0  0  0  8  8  8  8  8  0  0  0  0  0  8  8  8

generates a code of length 18 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+45x^12+166x^13+266x^14+1546x^15+2400x^16+9056x^17+5857x^18+8996x^19+2371x^20+1590x^21+274x^22+146x^23+47x^24+4x^25+2x^26+1x^34

The gray image is a code over GF(2) with n=144, k=15 and d=48.
This code was found by Heurico 1.16 in 1.9 seconds.