The generator matrix

 1  0  1  1  1  6  1  1  8  1  1 14  1  1  1  1  2 12  1  1 14  1  1 12  1  1 12  2  1
 0  1 11  6 13  1  8 11  1  6  5  1  3 12 10  9  1  1  0 14  1 13  3  1  4 15  1 12  0
 0  0 12  0  4  8  0  0 12 12  4  8  8  0  4 12  0 12 12  4 12  0 12  8 12  0  8 12  0
 0  0  0 12  0  8  4  4  8 12  4 12  8  8 12  4  4  4 12  8  8 12  4  0  8  0  0  4  0
 0  0  0  0  8  8  8  0  0  0  8  8  0  8  8  0  0  8  8  8  0  0  8  0  0  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+71x^24+126x^25+507x^26+1096x^27+1347x^28+1942x^29+1367x^30+1064x^31+460x^32+106x^33+65x^34+8x^35+9x^36+2x^37+13x^38+8x^39

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 0.361 seconds.