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

generates a code of length 69 over Z8 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+6x^70+16x^71+7x^72+2x^74

The gray image is a code over GF(2) with n=276, k=5 and d=140.
This code was found by Heurico 1.16 in 0.115 seconds.