The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+100x^13+394x^14+1220x^15+2741x^16+7824x^17+8078x^18+8072x^19+2736x^20+1092x^21+358x^22+116x^23+26x^24+8x^25+2x^26

The gray image is a code over GF(2) with n=144, k=15 and d=52.
This code was found by Heurico 1.16 in 2.5 seconds.