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

generates a code of length 49 over F8[X]/(X^2) who´s minimum homogenous weight is 326.

Homogenous weight enumerator: w(x)=1x^0+4760x^326+3192x^327+98x^328+336x^329+504x^330+1008x^331+3248x^332+6328x^333+22512x^334+11984x^335+665x^336+4704x^337+3024x^338+3360x^339+6944x^340+8848x^341+37912x^342+20216x^343+3192x^344+16464x^345+7224x^346+6384x^347+11312x^348+13496x^349+45920x^350+18368x^351+42x^352+21x^360+21x^368+42x^376+7x^384+7x^392

The gray image is a linear code over GF(8) with n=392, k=6 and d=326.
This code was found by Heurico 1.16 in 9.37 seconds.