The generator matrix

 1  0  0  0  1  1  1  2  6  1  1  2  1  1  2  0  1  1  1  1  2  1  1  1  0  0  4  2  6
 0  1  0  0  0  1  1  1  4  3  0  1  5  2  1  2  5  4  6  2  1  5  7  4  1  1  4  0  1
 0  0  1  0  0  1  5  2  1  4  3  3  0  5  1  6  6  0  0  3  4  2  1  1  6  1  1  1  4
 0  0  0  1  1  4  5  1  5  0  0  5  3  7  6  1  3  7  6  1  2  0  1  1  6  6  7  1  4
 0  0  0  0  2  0  2  2  2  2  6  4  4  0  6  4  0  2  0  0  0  4  4  6  2  4  6  4  2

generates a code of length 29 over Z8 who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+220x^23+544x^24+1012x^25+1334x^26+1892x^27+1820x^28+2376x^29+2221x^30+2086x^31+1281x^32+892x^33+440x^34+200x^35+29x^36+24x^37+5x^38+2x^39+4x^40+1x^44

The gray image is a code over GF(2) with n=116, k=14 and d=46.
This code was found by Heurico 1.11 in 14.8 seconds.