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

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

Homogenous weight enumerator: w(x)=1x^0+76x^67+12x^68+8x^69+11x^70+4x^71+3x^72+4x^74+8x^75+1x^78

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 0.316 seconds.