The generator matrix

 1  0  0  1  1  1  6  1 14  1  1  4  1  0  1  1  1  1  1
 0  1  0  1  6  7  1  0  4  2  3  1  1  1  4 14  2  4  4
 0  0  1  1  3  2  3  6  1  1  5  2  4  3  1  4  4 13  2
 0  0  0  8  0  0  8  0  0  0  0  8  0  8  8  8  0  8  0
 0  0  0  0  8  0  8  8  8  0  8  8  8  0  8  0  0  0  8
 0  0  0  0  0  8  8  0  0  0  8  8  0  0  8  0  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+67x^14+344x^15+1089x^16+3880x^17+5810x^18+10512x^19+5644x^20+3856x^21+1156x^22+344x^23+46x^24+8x^25+6x^26+4x^28+1x^30

The gray image is a code over GF(2) with n=152, k=15 and d=56.
This code was found by Heurico 1.16 in 1.67 seconds.