The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+116x^12+190x^14+128x^15+575x^16+384x^17+5382x^18+384x^19+614x^20+128x^21+186x^22+96x^24+2x^26+6x^28

The gray image is a code over GF(2) with n=144, k=13 and d=48.
This code was found by Heurico 1.16 in 0.276 seconds.