The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  2  1  1  1
 0  1  3  6  5  1 12  7  1 10  9  1  0  3  1  0  0  0  0
 0  0  8  0  0  0  0  0  0  0  8  8  0  0  8  0  8  8  0
 0  0  0  8  0  0  0  0  0  8  8  8  0  8  0  8  8  0  0
 0  0  0  0  8  0  0  0  8  8  0  0  0  0  0  8  8  8  0
 0  0  0  0  0  8  0  0  8  8  8  8  8  0  0  0  8  0  0
 0  0  0  0  0  0  8  0  8  0  8  0  0  8  8  8  8  0  0
 0  0  0  0  0  0  0  8  8  8  0  8  0  8  8  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+35x^12+40x^13+105x^14+176x^15+351x^16+1368x^17+4887x^18+2464x^19+4884x^20+1368x^21+348x^22+176x^23+104x^24+40x^25+32x^26+1x^28+3x^30+1x^34

The gray image is a code over GF(2) with n=152, k=14 and d=48.
This code was found by Heurico 1.16 in 0.361 seconds.