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

generates a code of length 60 over Z8 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+20x^57+88x^58+32x^59+24x^60+60x^62+7x^64+8x^65+8x^66+4x^70+4x^73

The gray image is a code over GF(2) with n=240, k=8 and d=114.
This code was found by Heurico 1.16 in 6.96 seconds.