The generator matrix

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

generates a code of length 20 over F8[X]/(X^2) who´s minimum homogenous weight is 127.

Homogenous weight enumerator: w(x)=1x^0+672x^127+441x^128+1792x^133+4032x^135+1330x^136+12544x^141+9632x^143+2198x^144+70x^152+56x^160

The gray image is a linear code over GF(8) with n=160, k=5 and d=127.
This code was found by Heurico 1.16 in 0.0596 seconds.