The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  0
 0  1  3  6  5  1 12  7  1 10  9  1  0  3  1  0  3  1
 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  0  8  8  8  8  0  0  8
 0  0  0  0  8  0  0  0  0  8  0  0  8  8  8  8  0  0
 0  0  0  0  0  8  0  0  0  8  0  0  0  8  8  0  8  8
 0  0  0  0  0  0  8  0  0  0  8  0  0  8  0  8  8  8
 0  0  0  0  0  0  0  8  0  8  8  8  8  0  0  0  0  8
 0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8

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+768x^15+2049x^16+11520x^17+3168x^18+11520x^19+2049x^20+768x^21+336x^22+126x^24+1x^36

The gray image is a code over GF(2) with n=144, k=15 and d=48.
This code was found by Heurico 1.16 in 1.28 seconds.