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

generates a code of length 38 over F8[X]/(X^2) who´s minimum homogenous weight is 240.

Homogenous weight enumerator: w(x)=1x^0+203x^240+672x^246+1064x^247+2828x^248+896x^252+6048x^254+5768x^255+7847x^256+12544x^260+28896x^262+21112x^263+23177x^264+43904x^268+50400x^270+29400x^271+26243x^272+462x^280+434x^288+189x^296+56x^304

The gray image is a linear code over GF(8) with n=304, k=6 and d=240.
This code was found by Heurico 1.16 in 8.2 seconds.