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

generates a code of length 61 over Z8 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+135x^56+456x^60+256x^62+87x^64+88x^68+1x^120

The gray image is a code over GF(2) with n=244, k=10 and d=112.
This code was found by Heurico 1.16 in 8.36 seconds.