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

generates a code of length 50 over F8[X]/(X^2) who´s minimum homogenous weight is 333.

Homogenous weight enumerator: w(x)=1x^0+3304x^333+4704x^334+175x^336+336x^337+1344x^338+6608x^339+8120x^340+17752x^341+13104x^342+896x^343+952x^344+2016x^345+4480x^346+13664x^347+10640x^348+29848x^349+24192x^350+6272x^351+2814x^352+4816x^353+8512x^354+22736x^355+17080x^356+35112x^357+22512x^358+84x^360+28x^368+14x^376+7x^384+14x^392+7x^400

The gray image is a linear code over GF(8) with n=400, k=6 and d=333.
This code was found by Heurico 1.16 in 9.47 seconds.