The generator matrix

 1  0  1  1  1  4  1  6  1  1 10  1  8  8  1  1 10  1
 0  1  1  0 11  1 10  1 13  7  1  0  2  4  9  3  1  0
 0  0  2  6  4  6  6  4  0  6  2  4  6  2  0  4  6  0
 0  0  0 12  0  4  8 12  4  4 12  4  4  8  8 12  0  0
 0  0  0  0  8  0  8  8  0  8  0  8  8  0  8  0  8  0
 0  0  0  0  0  8  0  8  0  8  0  8  0  8  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+24x^12+156x^13+528x^14+1100x^15+3991x^16+5656x^17+9856x^18+5656x^19+3991x^20+1100x^21+528x^22+156x^23+24x^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 1.7 seconds.