The generator matrix

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

generates a code of length 10 over F8[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+217x^48+420x^56+721x^64+28672x^70+1540x^72+1197x^80

The gray image is a linear code over GF(8) with n=80, k=5 and d=48.
This code was found by Heurico 1.16 in 0.0468 seconds.