The generator matrix

 1  0  0  0  1  1  1 10  2  1  1  8  1  1  1  4  6  1  1
 0  1  0  0  4  9 13  1  1 14  4  1  5  3 11 14  6  3  0
 0  0  1  0  5  1  4  5  6  8  7  3  5  6  8  1  1 13  3
 0  0  0  1  1  4  5  5 15 15 14  2 15  5  8  7 14  3 11
 0  0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+202x^14+1358x^15+5123x^16+13818x^17+27590x^18+34188x^19+28774x^20+13812x^21+4582x^22+1286x^23+276x^24+50x^25+10x^26+2x^28

The gray image is a code over GF(2) with n=152, k=17 and d=56.
This code was found by Heurico 1.16 in 30.4 seconds.