The generator matrix

 1  0  0  1  1  1 10  1  1  4  1 14 10  1  1  1  2  6  4 12  1  8  1 10  2  1  1  4  1
 0  1  0  4  5 11  1  2  7  1  9  1  0  0 10  1  1  1  1  1  4  1 13  1  2  7  3  2  0
 0  0  1  7  3  4  5  2  1  1  6  4  1  5  0 12  7  6 10  5  2 15  9 10  1 14 11  1  0
 0  0  0  8  0  0  0  0  0  0  8  8  0  8  8  8  8  0  8  8  0  8  8  8  8  0  8  8  0
 0  0  0  0  8  8  0  8  0  8  8  8  8  8  8  0  8  8  8  0  0  8  0  0  0  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+66x^24+392x^25+1026x^26+2012x^27+2830x^28+3872x^29+2834x^30+1868x^31+929x^32+384x^33+106x^34+36x^35+14x^36+8x^37+2x^38+4x^39

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 0.878 seconds.