The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+80x^24+314x^25+415x^26+1186x^27+1181x^28+1894x^29+1169x^30+1178x^31+390x^32+254x^33+73x^34+30x^35+11x^36+2x^37+7x^38+6x^39+1x^40

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 0.389 seconds.