The generator matrix

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

generates a code of length 43 over F8[X]/(X^2) who´s minimum homogenous weight is 256.

Homogenous weight enumerator: w(x)=1x^0+154x^256+1043x^264+2030x^272+3164x^280+3584x^287+3493x^288+50176x^295+4767x^296+175616x^303+5530x^304+5390x^312+4466x^320+2044x^328+630x^336+56x^344

The gray image is a linear code over GF(8) with n=344, k=6 and d=256.
This code was found by Heurico 1.16 in 24.8 seconds.