The generator matrix

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

generates a code of length 59 over Z8 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+28x^60+2x^68+1x^72

The gray image is a code over GF(2) with n=236, k=5 and d=120.
This code was found by Heurico 1.16 in 0.0587 seconds.