The generator matrix

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

generates a code of length 29 over Z8 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+92x^28+31x^32+4x^36

The gray image is a code over GF(2) with n=116, k=7 and d=56.
This code was found by Heurico 1.16 in 0.761 seconds.