The generator matrix

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

generates a code of length 43 over F8[X]/(X^2) who´s minimum homogenous weight is 288.

Homogenous weight enumerator: w(x)=1x^0+245x^288+1680x^289+784x^291+2352x^292+1232x^296+5600x^297+1120x^299+1568x^300+2499x^304+10640x^305+1680x^307+3248x^308+70x^312+21x^320+7x^328+14x^336+7x^344

The gray image is a linear code over GF(8) with n=344, k=5 and d=288.
This code was found by Heurico 1.16 in 0.134 seconds.