The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+54x^12+104x^14+64x^15+625x^16+192x^17+2000x^18+192x^19+668x^20+64x^21+72x^22+54x^24+6x^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 0.0773 seconds.