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

generates a code of length 37 over F8[X]/(X^2) who´s minimum homogenous weight is 241.

Homogenous weight enumerator: w(x)=1x^0+1680x^241+336x^245+1176x^246+4032x^247+11319x^248+15960x^249+896x^252+4704x^253+7056x^254+13440x^255+22652x^256+30240x^257+3584x^259+6272x^260+16464x^261+16856x^262+25536x^263+38108x^264+41720x^265+49x^272+42x^280+14x^288+7x^296

The gray image is a linear code over GF(8) with n=296, k=6 and d=241.
This code was found by Heurico 1.16 in 6.92 seconds.