The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  1  1  2  1  1  2  1
 0  2  0  2  0 10 12 14 10  6  4  0  6  0  6  2  2  0
 0  0  2  2 12 14  6  4  6  0  2  6  6  6  0  4  2  0
 0  0  0  8  0  0  0  8  0  0  8  8  8  8  8  0  8  0
 0  0  0  0  8  0  0  0  0  8  8  0  8  0  8  8  0  0
 0  0  0  0  0  8  0  8  8  0  0  8  0  8  0  0  8  0
 0  0  0  0  0  0  8  0  8  8  0  8  8  0  0  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+49x^12+136x^13+312x^14+656x^15+1830x^16+2000x^17+6383x^18+2048x^19+1803x^20+680x^21+331x^22+112x^23+29x^24+13x^26+1x^30

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 0.598 seconds.