The generator matrix

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

generates a code of length 28 over Z8 who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+286x^23+530x^24+782x^25+901x^26+1096x^27+1014x^28+1144x^29+910x^30+790x^31+402x^32+214x^33+73x^34+36x^35+4x^36+4x^37+4x^38+1x^40

The gray image is a code over GF(2) with n=112, k=13 and d=46.
This code was found by Heurico 1.16 in 16.3 seconds.