The generator matrix

 1  0  0  1  1  1  2  0  1  1 14  1  4  1  1  1  8  4  0 14  1  1  1  1  1  1  2 12  1
 0  1  0  1  2  3  1  1  8  6  1 15  0 11  4 13  1  2  1  1 13  1  8  3  1 14 10  0 12
 0  0  1  1  1  4  7  2  6  3  1  7  1 14 13 14  4  1  1 13  7  0 10  1  9 12 12  1  0
 0  0  0  2  8 10  6 10 10  6  0 12  2  8 12  0 12  6  6  4  8 12 14  4 14 12  6  8  8

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

Homogenous weight enumerator: w(x)=1x^0+183x^24+970x^25+2172x^26+3584x^27+6032x^28+6852x^29+6140x^30+3746x^31+1958x^32+778x^33+256x^34+60x^35+22x^36+8x^37+2x^39+4x^40

The gray image is a code over GF(2) with n=232, k=15 and d=96.
This code was found by Heurico 1.16 in 4.19 seconds.