The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  2  2  1  2  4  2  1
 0 12  0  0  0  4 12  4  8 12  8  8  0 12 12  0 12  0
 0  0 12  0  4  4  4  8  0  4  8  0 12  8  0  4  4  0
 0  0  0 12  4  0  4  4  8  0 12  4  0  0  8  4  4  0
 0  0  0  0  8  0  0  8  8  8  0  0  8  8  0  0  0  0
 0  0  0  0  0  8  0  0  0  0  8  0  8  8  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+40x^12+50x^13+67x^14+118x^15+228x^16+872x^17+1379x^18+812x^19+219x^20+162x^21+81x^22+30x^23+23x^24+4x^25+9x^26+1x^28

The gray image is a code over GF(2) with n=144, k=12 and d=48.
This code was found by Heurico 1.16 in 0.0616 seconds.