The generator matrix

 1  0  1  1  1 14  1  0  1 14  1  1 12  1  1  1 14  8  1  1  2  1  4 10  1  2  1  2  2
 0  1 11  6  1  1  8  1  3  1  6  5  1  5  6  8  1  1  3 13  1  6  1  1  8  1 11  1  0
 0  0 12  0  0  0  0  0  8  8  0 12  8  4  4  4 12 12  8 12 12  4  0  8  4  4  8  0  8
 0  0  0 12  0  0  8  4  8  4 12  8  4 12  8  4 12  8  4  4  4  4  0  0  0  0  4 12  8
 0  0  0  0  4 12 12 12  8  0  4 12  4  8 12 12 12  0 12  4 12  8 12  8  0  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+306x^24+184x^25+1012x^26+1664x^27+3308x^28+3504x^29+3236x^30+1600x^31+1131x^32+216x^33+156x^34+52x^36+12x^38+2x^40

The gray image is a code over GF(2) with n=232, k=14 and d=96.
This code was found by Heurico 1.16 in 52.6 seconds.