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

generates a code of length 46 over F8[X]/(X^2) who´s minimum homogenous weight is 280.

Homogenous weight enumerator: w(x)=1x^0+336x^280+1526x^288+2527x^296+3199x^304+4221x^312+5131x^320+229376x^322+5320x^328+5019x^336+3633x^344+1372x^352+427x^360+56x^368

The gray image is a linear code over GF(8) with n=368, k=6 and d=280.
This code was found by Heurico 1.16 in 27 seconds.