The generator matrix

 1  0  0  0  1  1  1  2 12  1  1  6  4  0  2  6  1  1
 0  1  0  0  4  9 13  1  1 10  8  1  1  2  1 10  3  5
 0  0  1  0  5  1  4  5 15 14 15  2  6  1  7  1  9  5
 0  0  0  1  1  4  5  7  6 11  2  1  0  1  0  6 15  8
 0  0  0  0  8  0  8  8  0  0  8  0  8  0  8  0  8  0

generates a code of length 18 over Z16 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+134x^13+1338x^14+4680x^15+13066x^16+28298x^17+35622x^18+28912x^19+13249x^20+4298x^21+1214x^22+232x^23+17x^24+6x^25+2x^26+3x^28

The gray image is a code over GF(2) with n=144, k=17 and d=52.
This code was found by Heurico 1.16 in 26.4 seconds.