The generator matrix

 1  0  1  1  1 12  1  2  1  1  6  1 12  1  1 10  1  1  2
 0  1  1 12 11  1  2  1 13  7  1  6  1  5 14  1  7  0  0
 0  0  2  6  4  6  2 10  4  2  0  0  8  0  4  6 10  6  0
 0  0  0  8  0  0  8  0  0  8  8  0  0  8  0  0  8  8  8
 0  0  0  0  8  0  8  8  0  8  0  8  8  8  0  8  0  8  8
 0  0  0  0  0  8  0  8  0  8  8  8  0  8  8  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+68x^14+176x^15+581x^16+1760x^17+3198x^18+4832x^19+3184x^20+1792x^21+570x^22+112x^23+74x^24+32x^25+2x^26+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 0.589 seconds.