The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+219x^24+888x^25+1894x^26+3692x^27+6386x^28+6708x^29+6304x^30+3752x^31+1843x^32+784x^33+208x^34+44x^35+30x^36+4x^37+8x^38+1x^40+2x^42

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 3.55 seconds.