The generator matrix

 1  1  1  1  1  1  2  0  1  1  2  1  2  1  1  1  1  1
 0  2 12  6  0  6  6  2  0 10 10  6  6 10  6 10  6  6
 0  0  8  0  0  0  0  0  8  0  8  0  8  0  8  8  0  0
 0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  0  0  0
 0  0  0  0  8  0  0  0  8  8  0  8  0  8  8  0  0  0
 0  0  0  0  0  8  0  0  0  8  8  0  8  8  8  0  8  8
 0  0  0  0  0  0  8  0  0  8  8  8  0  0  8  8  8  8
 0  0  0  0  0  0  0  8  0  8  0  8  8  0  8  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+100x^12+96x^14+128x^15+926x^16+1920x^17+1856x^18+1920x^19+920x^20+128x^21+96x^22+96x^24+4x^28+1x^32

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 0.203 seconds.