The generator matrix

 1  0  1  1  1  1  1  1  1  1
 0  1  1  a 3a^2+2  0 2a^2+3  a 3a^2+2  2
 0  0 2a^2+2 2a  2 2a^2 2a+2 2a^2+2a+2 2a^2+2a 2a^2+2

generates a code of length 10 over GR(64,4) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+196x^56+168x^57+448x^63+2583x^64+1008x^65+14336x^70+3136x^71+8316x^72+2408x^73+168x^80

The gray image is a code over GF(8) with n=80, k=5 and d=56.
This code was found by Heurico 1.16 in 0.0238 seconds.