The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  1  0  1  0  1
 0  2  0  0  0  0  0  0  0  2  2  6  2  4  4  0  6  2  2  0  4  4  6  0  4  2  2  0  2
 0  0  2  0  0  0  2  6  2  4  2  2  0  0  6  0  6  2  4  2  6  4  2  2  6  4  6  2  0
 0  0  0  2  0  2  2  2  4  4  4  4  6  2  6  4  4  2  0  4  2  0  2  2  2  4  2  4  6
 0  0  0  0  2  2  0  2  6  2  0  2  4  4  0  2  4  6  2  6  2  0  6  0  4  0  4  0  0
 0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  0  4  4  0
 0  0  0  0  0  0  4  4  0  0  0  0  0  4  0  4  4  4  0  0  4  4  0  4  0  4  4  0  0

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

Homogenous weight enumerator: w(x)=1x^0+216x^22+464x^24+714x^26+384x^27+1654x^28+1280x^29+1718x^30+384x^31+735x^32+438x^34+153x^36+50x^38+1x^52

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 2.77 seconds.