The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+29x^24+286x^25+355x^26+1430x^27+1043x^28+2050x^29+1031x^30+1278x^31+292x^32+282x^33+49x^34+42x^35+9x^36+6x^37+5x^38+2x^39+2x^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 0.291 seconds.