The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+86x^13+119x^14+536x^15+389x^16+2446x^17+1046x^18+2464x^19+368x^20+530x^21+112x^22+72x^23+10x^24+10x^25+2x^26+1x^30

The gray image is a code over GF(2) with n=144, k=13 and d=52.
This code was found by Heurico 1.16 in 1.08 seconds.