The generator matrix

 1  0  0  1  1  1  6  1  2  1  1  1 14  0  0  1  1  1
 0  1  0  1  6  7  1 11  6  1 12 15  1  1  6 11 12  0
 0  0  1  1  3  2  3  0  1  1  2  4  5  4  1  3  6  0
 0  0  0 12  0  0  8  4  4  8  4  4  4 12  8 12  0  0
 0  0  0  0  8  0  8  8  0  0  0  8  8  0  0  0  8  0
 0  0  0  0  0  8  0  0  0  8  0  8  8  0  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+36x^12+252x^13+684x^14+2782x^15+5914x^16+14370x^17+17436x^18+14364x^19+5964x^20+2832x^21+628x^22+198x^23+52x^24+18x^25+4x^26+1x^32

The gray image is a code over GF(2) with n=144, k=16 and d=48.
This code was found by Heurico 1.16 in 5.18 seconds.