The generator matrix

 1  1  1  1  1  1  1  1  1  2  1  4  1  1  2  4  1  1  1
 0 12  0  4  0  0  4  4  8  8  0  8  4 12  4  4  0  8  0
 0  0 12  4  0 12 12  0  8  4  0  4  4  8 12 12  8  4  0
 0  0  0  8  0  0  8  0  0  8  8  0  0  8  8  0  8  8  0
 0  0  0  0  8  0  0  0  0  8  8  8  0  0  8  8  0  8  0
 0  0  0  0  0  8  8  8  8  0  0  8  8  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+23x^14+34x^15+62x^16+258x^17+302x^18+700x^19+304x^20+252x^21+48x^22+34x^23+16x^24+2x^25+10x^26+1x^30+1x^32

The gray image is a code over GF(2) with n=152, k=11 and d=56.
This code was found by Heurico 1.16 in 0.022 seconds.