The generator matrix

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

generates a code of length 24 over Z16 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+37x^18+64x^19+88x^20+168x^21+358x^22+792x^23+1114x^24+800x^25+328x^26+160x^27+62x^28+56x^29+42x^30+8x^31+13x^32+3x^34+2x^36

The gray image is a code over GF(2) with n=192, k=12 and d=72.
This code was found by Heurico 1.16 in 0.118 seconds.