The generator matrix

 1  0  1  1  1  1  1  1  1  1
 0  1  1  a a^6*X+a^2  0 a^6*X+1  a a^6*X+a^2  X
 0  0 a^6*X a*X  X a^2*X a^3*X a^5*X a^4*X a^6*X

generates a code of length 10 over F8[X]/(X^2) 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 linear code over GF(8) with n=80, k=5 and d=56.
This code was found by Heurico 1.16 in 0.0238 seconds.