The generator matrix

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

generates a code of length 29 over Z8 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+56x^22+114x^23+261x^24+408x^25+679x^26+928x^27+1041x^28+1188x^29+1070x^30+988x^31+688x^32+336x^33+233x^34+112x^35+55x^36+20x^37+9x^38+2x^39+2x^40+1x^46

The gray image is a code over GF(2) with n=116, k=13 and d=44.
This code was found by Heurico 1.16 in 0.927 seconds.