The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+94x^23+359x^24+564x^25+1143x^26+1584x^27+2781x^28+3210x^29+3007x^30+1626x^31+1080x^32+464x^33+287x^34+116x^35+35x^36+18x^37+9x^38+4x^39+2x^42

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 1.68 seconds.