The generator matrix

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

generates a code of length 46 over F8[X]/(X^2) who´s minimum homogenous weight is 304.

Homogenous weight enumerator: w(x)=1x^0+917x^304+2968x^305+728x^306+336x^308+9464x^311+16394x^312+17024x^313+2688x^314+448x^315+4704x^316+19152x^319+26817x^320+26040x^321+6776x^322+3136x^323+16464x^324+32312x^327+38759x^328+32816x^329+4144x^330+42x^352+7x^360+7x^368

The gray image is a linear code over GF(8) with n=368, k=6 and d=304.
This code was found by Heurico 1.16 in 8.81 seconds.