The generator matrix

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

generates a code of length 42 over F8[X]/(X^2) who´s minimum homogenous weight is 264.

Homogenous weight enumerator: w(x)=1x^0+98x^264+56x^266+469x^272+56x^273+1008x^274+560x^275+4312x^276+1267x^280+1176x^281+5152x^282+2800x^283+13944x^284+6972x^288+8232x^289+15120x^290+10640x^291+45192x^292+22547x^296+19208x^297+36008x^298+14672x^299+51240x^300+497x^304+357x^312+329x^320+203x^328+28x^336

The gray image is a linear code over GF(8) with n=336, k=6 and d=264.
This code was found by Heurico 1.16 in 9.51 seconds.