The generator matrix

 1  0  1  1  1 10  1 12  1  1  1 12 12 10  1  8  8  1
 0  1  1  0  3  1 12  1 11  9 14  1  2  1  6  1  1  8
 0  0  2  0  6 10  2  4  0  4 10 14  6  8  0 12  8  8
 0  0  0  2  6 12  4 10  4  2 14 14 14  8  6  8 10 12
 0  0  0  0  8  0  0  0  8  8  0  0  8  8  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+76x^13+423x^14+1162x^15+3138x^16+6806x^17+9528x^18+6884x^19+3138x^20+1112x^21+383x^22+82x^23+27x^24+6x^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 2.03 seconds.