The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+213x^24+180x^25+648x^26+876x^27+1456x^28+1496x^29+1492x^30+840x^31+585x^32+180x^33+144x^34+12x^35+48x^36+20x^38+1x^40

The gray image is a code over GF(2) with n=232, k=13 and d=96.
This code was found by Heurico 1.16 in 95.3 seconds.