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

generates a code of length 47 over F8[X]/(X^2) who´s minimum homogenous weight is 304.

Homogenous weight enumerator: w(x)=1x^0+497x^304+392x^306+112x^308+672x^309+1120x^311+3976x^312+2744x^314+2352x^316+6048x^317+3360x^319+9289x^320+5544x^322+16464x^324+28896x^325+11424x^327+23562x^328+11368x^330+38416x^332+50400x^333+12768x^335+22904x^336+8624x^338+546x^344+322x^352+238x^360+91x^368+14x^376

The gray image is a linear code over GF(8) with n=376, k=6 and d=304.
This code was found by Heurico 1.16 in 10.6 seconds.