The generator matrix

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

generates a code of length 29 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+173x^24+24x^25+266x^26+256x^27+852x^28+976x^29+880x^30+256x^31+218x^32+24x^33+114x^34+35x^36+20x^38+1x^44

The gray image is a code over GF(2) with n=232, k=12 and d=96.
This code was found by Heurico 1.16 in 69.9 seconds.