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

generates a code of length 46 over F8[X]/(X^2) who´s minimum homogenous weight is 296.

Homogenous weight enumerator: w(x)=1x^0+315x^296+112x^297+56x^301+1624x^303+2891x^304+3080x^305+448x^308+1176x^309+8568x^311+7637x^312+8904x^313+6272x^316+8232x^317+31752x^319+23275x^320+22680x^321+21952x^324+19208x^325+44072x^327+26131x^328+22568x^329+441x^336+371x^344+266x^352+98x^360+14x^368

The gray image is a linear code over GF(8) with n=368, k=6 and d=296.
This code was found by Heurico 1.16 in 10.5 seconds.