The generator matrix

 1  0  1  1  1  6  1  1  8  1  1 14  0  6  4 14  0  0
 0  1 11  6  5  1  0 11  1  8  3  1  1  1  1  1  1  1
 0  0 12  0  0  4  4  0  4 12  4  8  4  0  8  4  0  0
 0  0  0 12  0  4  4 12  0  8 12 12 12  0 12  8  0  0
 0  0  0  0  8  0  0  0  0  0  8  8  8  8  8  0  0  0
 0  0  0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8
 0  0  0  0  0  0  8  8  8  8  8  8  0  0  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+164x^12+96x^13+416x^14+864x^15+2654x^16+7232x^17+9920x^18+7232x^19+2648x^20+864x^21+416x^22+96x^23+160x^24+4x^28+1x^32

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 1.61 seconds.