The generator matrix

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

generates a code of length 41 over F8[X]/(X^2) who´s minimum homogenous weight is 270.

Homogenous weight enumerator: w(x)=1x^0+3024x^270+154x^272+280x^273+1624x^274+3248x^275+8680x^276+7336x^277+17248x^278+511x^280+3920x^281+10192x^282+11424x^283+18480x^284+9520x^285+25424x^286+3248x^288+13720x^289+24024x^290+21168x^291+30184x^292+15400x^293+33152x^294+70x^296+70x^304+35x^312+7x^320

The gray image is a linear code over GF(8) with n=328, k=6 and d=270.
This code was found by Heurico 1.16 in 7.58 seconds.