The generator matrix

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

generates a code of length 66 over Z8 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+30x^68+1x^72

The gray image is a code over GF(2) with n=264, k=5 and d=136.
This code was found by Heurico 1.16 in 0.0852 seconds.