The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1  0  1  1  8  1  1  1  2  1  1  2  2  4  8  2  2  2
 0  2  0  6  4 14 12  2  0  6  6  8  2 10 14  2  8  0  4 10  2 10 14 14  2  2  2 12 12
 0  0 12  0  4  4  8  4  0  8  8 12  0  8 12 12 12  8 12  0  4  0  4 12 12  4 12  4  0
 0  0  0  8  0  0  8  0  0  8  0  0  8  8  8  0  8  0  8  0  8  0  8  8  0  8  0  0  0
 0  0  0  0  8  0  0  8  8  8  8  8  8  8  8  8  8  8  8  0  0  8  8  0  0  8  8  8  8
 0  0  0  0  0  8  0  8  0  0  0  8  8  8  0  0  8  8  0  8  0  0  0  8  8  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+70x^24+80x^25+363x^26+456x^27+764x^28+736x^29+709x^30+432x^31+285x^32+80x^33+69x^34+8x^35+32x^36+11x^38

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 0.174 seconds.