The generator matrix

 1  1  1  1  1  1  1  1  2  2  8  4  2  1  1  1  2  2  1
 0  2  0  2  0  2  8  6 10 12  0  2 14  2  0  4  2  8 14
 0  0  2  2 12  6 14  0  2  2  2  2  4  0 12  2  8  0  2
 0  0  0  4  0  4  0  8 12 12  4  0  8 12 12 12  4  4  0
 0  0  0  0  8  0  8  8  8  0  8  0  8  8  8  0  8  8  0
 0  0  0  0  0  8  0  0  8  0  0  8  8  0  0  8  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+180x^14+240x^15+968x^16+1528x^17+3125x^18+4144x^19+3397x^20+1536x^21+835x^22+224x^23+175x^24+8x^25+19x^26+3x^28+1x^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 0.961 seconds.