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

generates a code of length 67 over Z8 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+1x^70+10x^71+1x^72+2x^73+1x^74

The gray image is a code over GF(2) with n=268, k=4 and d=140.
This code was found by Heurico 1.16 in 0.0814 seconds.