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

generates a code of length 43 over F8[X]/(X^2) who´s minimum homogenous weight is 272.

Homogenous weight enumerator: w(x)=1x^0+98x^272+56x^274+56x^276+553x^280+448x^281+2016x^282+1120x^283+1680x^284+448x^287+798x^288+4032x^289+11536x^290+3360x^291+4032x^292+6272x^295+749x^296+19264x^297+42336x^298+11424x^299+11760x^300+21952x^303+574x^304+33600x^305+58744x^306+12768x^307+11144x^308+448x^312+385x^320+301x^328+168x^336+21x^344

The gray image is a linear code over GF(8) with n=344, k=6 and d=272.
This code was found by Heurico 1.16 in 9.87 seconds.