The generator matrix

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

generates a code of length 69 over Z8 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+130x^68+112x^70+9x^72+1x^80+2x^84+1x^88

The gray image is a code over GF(2) with n=276, k=8 and d=136.
This code was found by Heurico 1.16 in 0.136 seconds.