The generator matrix

 1  0  1  1  1  6  1 12  1  1  1 14  1  1  8 14  1 10  1  1  1  1  1  2  4  8  4  1  8
 0  1 11  6 13  1  8  1 11 13  6  1 10  1  1  1  3  1  5  6 14 15  8  2  2  0  8  9  1
 0  0 12  0  4  0  0  8  8  0  0  8  0  8 12 12  4 12  8 12 12  4  4  4  8  4 12 12  0
 0  0  0 12  0  0  4  8 12  4  8 12  0  4  8  8 12  4  0 12  0 12  8  8 12  4  8 12  4
 0  0  0  0  8  0  8  8  8  0  0  8  8  0  0  8  8  0  0  8  8  0  0  8  0  0  0  8  8
 0  0  0  0  0  8  0  8  0  0  8  8  8  8  0  0  8  8  0  0  0  0  8  8  8  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+56x^23+192x^24+536x^25+1139x^26+1986x^27+2800x^28+3068x^29+2735x^30+1974x^31+1130x^32+480x^33+153x^34+78x^35+35x^36+12x^37+5x^38+2x^39+1x^40+1x^44

The gray image is a code over GF(2) with n=232, k=14 and d=92.
This code was found by Heurico 1.16 in 1.27 seconds.