The generator matrix

 1  0  1  1  1  6  1  8  1  1 14  1  1  0  1  1  2  8  1
 0  1 11  6 13  1  8  1 13 14  1  3 11  1 15  6 10  2  3
 0  0 12  0  4  0  0  8  0  4 12 12  8  4  0  8  4  0  4
 0  0  0 12  0  0  4 12 12  8  8 12  4 12  0  0 12 12  4
 0  0  0  0  8  0  8  0  8  0  8  8  8  0  8  0  8  8  0
 0  0  0  0  0  8  0  0  0  0  0  8  8  8  8  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+148x^14+116x^15+687x^16+1396x^17+3978x^18+3624x^19+4126x^20+1416x^21+658x^22+100x^23+112x^24+4x^25+14x^26+2x^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 0.649 seconds.