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

generates a code of length 47 over F8[X]/(X^2) who´s minimum homogenous weight is 312.

Homogenous weight enumerator: w(x)=1x^0+3493x^312+3080x^313+280x^315+1120x^316+1624x^317+3752x^318+8736x^319+20286x^320+8568x^321+448x^322+3920x^323+7168x^324+5712x^325+8176x^326+12096x^327+31157x^328+13048x^329+3136x^330+13720x^331+16800x^332+10584x^333+13160x^334+18592x^335+38633x^336+14728x^337+35x^344+49x^352+35x^360+7x^368

The gray image is a linear code over GF(8) with n=376, k=6 and d=312.
This code was found by Heurico 1.16 in 9.03 seconds.