The generator matrix

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

generates a code of length 38 over F8[X]/(X^2) who´s minimum homogenous weight is 248.

Homogenous weight enumerator: w(x)=1x^0+1484x^248+672x^249+392x^252+1176x^253+1624x^254+11536x^255+16807x^256+2800x^257+1792x^259+5488x^260+7056x^261+5712x^262+23968x^263+29715x^264+4928x^265+12544x^267+19208x^268+16856x^269+10584x^270+39760x^271+41979x^272+5936x^273+49x^280+49x^288+28x^296

The gray image is a linear code over GF(8) with n=304, k=6 and d=248.
This code was found by Heurico 1.16 in 7.41 seconds.