The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+6x^28+44x^29+6x^30+1x^32+4x^33+2x^34

The gray image is a code over GF(2) with n=116, k=6 and d=56.
This code was found by Heurico 1.16 in 0.00528 seconds.