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

generates a code of length 68 over Z8 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+250x^64+128x^66+288x^68+128x^70+216x^72+12x^80+1x^128

The gray image is a code over GF(2) with n=272, k=10 and d=128.
This code was found by Heurico 1.16 in 54.1 seconds.