The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  0  1  1  2  8  1  1  4  8  1  1  1  1  1  1  1  2  1
 0  2  0  6  4 14 12  2  0  6  6  2 12 10 14  2 14 12  2  2  2  4 10  8 12  0  0  6  0
 0  0 12  0  4  4  0  4  0  8  0  8  0  0  4  4 12  8 12 12  4 12  8  4  0  0  8  8  0
 0  0  0  8  0  0  0  0  0  8  0  0  0  8  8  8  0  0  0  8  8  8  8  8  8  0  8  8  8
 0  0  0  0  8  0  0  8  8  8  8  8  0  8  8  0  0  8  0  0  0  0  0  8  8  0  8  8  8
 0  0  0  0  0  8  0  8  0  0  0  0  8  8  0  8  8  8  0  0  0  8  8  8  0  0  0  8  8
 0  0  0  0  0  0  8  0  0  0  8  0  8  0  8  8  8  0  8  8  8  0  8  0  0  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+8x^23+238x^24+96x^25+534x^26+760x^27+1561x^28+1856x^29+1498x^30+760x^31+583x^32+96x^33+138x^34+8x^35+38x^36+6x^38+10x^40+1x^44

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 76.7 seconds.