The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  2  1  1  0  4  2  1  1
 0  2  0  0  4 14 10 10  4  0  2  0  6  8  2  2 12  4  0
 0  0  2  0  6 14 14  4  0  2  2  6  2  4  0 14  6  2  0
 0  0  0  2  2 12 14  2  2  2  0  0  4  6  6  2 14  0  0
 0  0  0  0  8  0  0  0  8  8  8  8  0  0  8  8  8  0  0
 0  0  0  0  0  8  0  0  8  8  0  8  8  8  0  8  8  0  0
 0  0  0  0  0  0  8  0  8  0  8  8  8  0  0  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+46x^12+208x^13+627x^14+1270x^15+3172x^16+6868x^17+12535x^18+16090x^19+12544x^20+6824x^21+3177x^22+1322x^23+615x^24+180x^25+45x^26+6x^27+5x^28+1x^36

The gray image is a code over GF(2) with n=152, k=16 and d=48.
This code was found by Heurico 1.16 in 8.37 seconds.