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

generates a code of length 37 over F8[X]/(X^2) who´s minimum homogenous weight is 232.

Homogenous weight enumerator: w(x)=1x^0+147x^232+56x^233+56x^238+1064x^239+679x^240+1960x^241+448x^245+1176x^246+10248x^247+735x^248+7224x^249+6272x^253+8232x^254+47992x^255+672x^256+22456x^257+21952x^261+19208x^262+84056x^263+616x^264+25648x^265+581x^272+399x^280+203x^288+63x^296

The gray image is a linear code over GF(8) with n=296, k=6 and d=232.
This code was found by Heurico 1.16 in 7.99 seconds.