The generator matrix

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

generates a code of length 50 over F8[X]/(X^2) who´s minimum homogenous weight is 336.

Homogenous weight enumerator: w(x)=1x^0+63x^336+504x^337+336x^338+560x^339+6272x^342+196x^344+3024x^345+1120x^346+1120x^347+1792x^350+98x^352+7224x^353+2128x^354+1904x^355+6272x^358+91x^360+42x^368+21x^376

The gray image is a linear code over GF(8) with n=400, k=5 and d=336.
This code was found by Heurico 1.16 in 0.17 seconds.