The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+116x^23+346x^24+840x^25+1901x^26+3870x^27+5452x^28+7726x^29+5443x^30+3972x^31+1857x^32+756x^33+323x^34+102x^35+24x^36+22x^37+13x^38+4x^39

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 9.32 seconds.