The generator matrix

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

generates a code of length 29 over Z16 who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+84x^23+377x^24+794x^25+2078x^26+3820x^27+5543x^28+7054x^29+6094x^30+3762x^31+1992x^32+742x^33+242x^34+106x^35+53x^36+18x^37+2x^38+2x^39+2x^40+2x^43

The gray image is a code over GF(2) with n=232, k=15 and d=92.
This code was found by Heurico 1.16 in 4.57 seconds.