The generator matrix

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

generates a code of length 10 over F8[X]/(X^2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+392x^40+1078x^48+2912x^56+7455x^64+229376x^70+11032x^72+9898x^80

The gray image is a linear code over GF(8) with n=80, k=6 and d=40.
This code was found by Heurico 1.16 in 1.72 seconds.