The generator matrix

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

generates a code of length 18 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+104x^12+512x^13+1062x^14+2478x^15+6283x^16+12894x^17+18862x^18+12860x^19+6350x^20+2508x^21+1026x^22+470x^23+92x^24+22x^25+10x^26+2x^28

The gray image is a code over GF(2) with n=144, k=16 and d=48.
This code was found by Heurico 1.16 in 9.9 seconds.