The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+172x^14+340x^15+708x^16+1692x^17+3234x^18+4136x^19+3179x^20+1688x^21+738x^22+324x^23+143x^24+12x^25+14x^26+1x^28+2x^30

The gray image is a code over GF(2) with n=152, k=14 and d=56.
This code was found by Heurico 1.16 in 0.956 seconds.