The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+41x^14+228x^15+300x^16+892x^17+1327x^18+2640x^19+1325x^20+880x^21+287x^22+204x^23+35x^24+20x^25+9x^26+3x^28

The gray image is a code over GF(2) with n=152, k=13 and d=56.
This code was found by Heurico 1.16 in 0.254 seconds.