The generator matrix

 1  0  1  1  1  6  1  1  8  1  1 14  1  1  8  6  1  2  1
 0  1 11  6 13  1  8 11  1 13 12  1 12  3  1  1 15 14  0
 0  0 12  0  4  8  0  0  4  8  8  4  8  4  0  4  8  4  8
 0  0  0 12  0  8  4  4  8 12  0  8  8  4  4 12  0  8  8
 0  0  0  0  8  8  8  0  8  0  8  0  0  0  8  0  0  8  0

generates a code of length 19 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+25x^14+82x^15+335x^16+732x^17+1823x^18+2222x^19+1822x^20+728x^21+303x^22+62x^23+32x^24+12x^25+9x^26+2x^27+2x^28

The gray image is a code over GF(2) with n=152, k=13 and d=56.
This code was found by Heurico 1.16 in 0.154 seconds.