The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  2  1  1  8  1  8  1  1  1  1  4  2  2  0
 0  2  0  6  4  6 12  2 14  8  6 12  6  2  2  6  6  0  2  6  2  8  6 12 14  2 10 12  2
 0  0 12  0  4  0  8  8  4  0 12 12  8  4 12  4  0  4 12  0  8  0 12  4  4  4  0  8  4
 0  0  0 12  0  0  0  4  8  4 12  4  0  4  8  4 12  8  0  8  4 12 12  4  0  0  8 12  4
 0  0  0  0  8  0  0  0  8  8  8  0  8  0  0  0  8  8  8  8  8  0  0  8  0  8  0  0  8
 0  0  0  0  0  8  8  8  0  8  8  8  8  8  8  0  0  8  0  0  0  8  0  0  0  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+56x^23+123x^24+238x^25+393x^26+988x^27+1581x^28+1558x^29+1483x^30+976x^31+376x^32+202x^33+103x^34+60x^35+27x^36+18x^37+5x^38+4x^40

The gray image is a code over GF(2) with n=232, k=13 and d=92.
This code was found by Heurico 1.16 in 0.567 seconds.