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

generates a code of length 68 over Z8 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+60x^67+47x^68+15x^72+1x^76+4x^83

The gray image is a code over GF(2) with n=272, k=7 and d=134.
This code was found by Heurico 1.16 in 2.47 seconds.