The generator matrix

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

generates a code of length 60 over Z8 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+20x^61+2x^62+4x^63+3x^64+2x^66

The gray image is a code over GF(2) with n=240, k=5 and d=122.
This code was found by Heurico 1.16 in 0.0759 seconds.