The generator matrix

 1  1  1  1  1  1  1  1  1  2  2  2  8  2  1  1  0 12 12
 0  2  0  2  0  0  2 10  6  6  4 10 12  2  8 14  0  2  2
 0  0  2  2  0 14  2  4  2  4  2  6  2  6  0 12  8 10  2
 0  0  0  4  0  0  0  0  0  4  8  4  4  8  4  4  8  4  0
 0  0  0  0 12  4  0  4  4  8  8  4 12  4  8  0  4  0 12
 0  0  0  0  0  8  8  0  8  8  0  8  8  8  8  0  8  8  0

generates a code of length 19 over Z16 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+88x^13+283x^14+728x^15+1779x^16+3762x^17+6098x^18+7220x^19+6182x^20+3798x^21+1788x^22+688x^23+228x^24+94x^25+22x^26+4x^27+2x^28+2x^29+1x^30

The gray image is a code over GF(2) with n=152, k=15 and d=52.
This code was found by Heurico 1.16 in 3.13 seconds.