The generator matrix

 1  0  1  1  1 14  1  1  8  1  1  6  2  1  1  1  1  1  1
 0  1 11 14  5  1  0  3  1  6 13  1  8  7  3  0  0  0  0
 0  0 12  4  0  4 12  0 12  8 12  8  4  4  0  0  0  8  0
 0  0  0  8  0  0  0  0  8  8  8  0  0  8  0  8  0  8  0
 0  0  0  0  8  0  0  0  8  8  0  8  0  8  8  8  8  0  0
 0  0  0  0  0  8  0  0  8  0  0  0  8  8  0  8  8  8  8
 0  0  0  0  0  0  8  0  8  8  8  0  8  0  8  8  8  0  8
 0  0  0  0  0  0  0  8  8  8  0  8  8  8  0  0  0  0  0

generates a code of length 19 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+48x^12+8x^13+290x^14+144x^15+1169x^16+2552x^17+7690x^18+8928x^19+7734x^20+2552x^21+1190x^22+144x^23+252x^24+8x^25+46x^26+10x^28+2x^32

The gray image is a code over GF(2) with n=152, k=15 and d=48.
This code was found by Heurico 1.16 in 1.45 seconds.