The generator matrix

 1  1  1  1  1  1  2  0  1  1  2 12  1  1  2  2  1  1
 0  2 12  6  0  6  6  2 12 10 10  2  0  6  6  6  0  6
 0  0  8  0  0  0  0  0  0  0  0  8  0  0  8  8  8  8
 0  0  0  8  0  0  0  0  0  0  8  0  0  8  8  0  8  8
 0  0  0  0  8  0  0  0  0  8  8  8  0  8  0  0  0  8
 0  0  0  0  0  8  0  0  0  0  8  0  8  0  0  8  8  8
 0  0  0  0  0  0  8  0  0  8  8  8  8  8  8  8  8  8
 0  0  0  0  0  0  0  8  0  8  0  0  8  8  0  0  8  8
 0  0  0  0  0  0  0  0  8  0  0  8  8  8  8  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+126x^12+336x^14+256x^15+2049x^16+3840x^17+3168x^18+3840x^19+2049x^20+256x^21+336x^22+126x^24+1x^36

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 5.9 seconds.