The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+259x^12+380x^14+256x^15+1453x^16+768x^17+10140x^18+768x^19+1442x^20+256x^21+468x^22+162x^24+20x^26+11x^28

The gray image is a code over GF(2) with n=144, k=14 and d=48.
This code was found by Heurico 1.16 in 0.768 seconds.