The generator matrix

 1  0  0  1  1  1 10 14  1  1  1 14  1  4 14  6  1  1  8  8  2  1  1  8 10  1  1  6  1
 0  1  0  2  1  7  1  6  5 15  4  1 10  1  0  1 14 15  1 10  1 15 12  4  1  9 10  1  0
 0  0  1  1  5  2  1  1  3  4  6  6  3  1  1  0  6  1  3  1  1  4  8  1  2 15 12 15  0
 0  0  0  4 12  8  4 12  0  4 12  4  8  8  4  8  4 12 12  0  0  8 12  4  0 12 12 12  0

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

Homogenous weight enumerator: w(x)=1x^0+77x^24+406x^25+1251x^26+1838x^27+3143x^28+3028x^29+3230x^30+1720x^31+1126x^32+380x^33+115x^34+42x^35+13x^36+8x^37+4x^38+2x^41

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 1.02 seconds.