The generator matrix

 1  0  1  1  1  6  1  1 12  1 14  1  1  8  1  2  1  1  1  1  4  1  8  1 10  1 14  1  2
 0  1 11  6 13  1  0  7  1 14  1  5  3  1  4  1  1 10  9  2  1 11  1  5  1 11  1  0  8
 0  0 12  0  4  0 12 12  8  4  4  0  0  4  4 12 12  8  0 12 12 12 12  8  8 12 12  8  4
 0  0  0  8  0  0  0  8  8  8  0  8  0  0  0  8  8  8  8  0  0  8  8  0  0  8  8  8  0
 0  0  0  0  8  0  0  0  0  0  0  8  8  8  8  0  8  8  0  8  8  0  0  8  8  8  8  8  8
 0  0  0  0  0  8  0  0  0  8  8  0  8  0  8  0  8  8  8  0  8  8  8  0  8  0  8  8  8
 0  0  0  0  0  0  8  0  0  8  0  0  0  8  8  8  0  8  8  8  0  8  0  8  0  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+70x^23+123x^24+254x^25+973x^26+2022x^27+3000x^28+3502x^29+3028x^30+2050x^31+953x^32+202x^33+86x^34+82x^35+16x^36+10x^37+4x^38+3x^40+5x^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 35.8 seconds.