The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+147x^14+300x^15+1486x^16+2884x^17+7248x^18+8472x^19+7519x^20+2920x^21+1352x^22+252x^23+145x^24+20x^25+20x^26+1x^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 6.48 seconds.