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

generates a code of length 50 over F8[X]/(X^2) who´s minimum homogenous weight is 320.

Homogenous weight enumerator: w(x)=1x^0+70x^320+168x^326+448x^327+609x^328+56x^329+448x^330+1064x^331+2128x^332+2296x^334+2632x^335+791x^336+1176x^337+4032x^338+5768x^339+7056x^340+4648x^342+5544x^343+658x^344+8232x^345+19264x^346+21112x^347+22512x^348+11816x^350+11480x^351+532x^352+19208x^353+33600x^354+29400x^355+25648x^356+9744x^358+8568x^359+497x^360+357x^368+280x^376+203x^384+84x^392+14x^400

The gray image is a linear code over GF(8) with n=400, k=6 and d=320.
This code was found by Heurico 1.16 in 11.8 seconds.