The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  X  1  1  X  1  1  1
 0  X  0  0  X  X a*X a^2*X a^4*X a^5*X a^5*X  X a^5*X  0 a*X a^4*X  0 a^3*X a^4*X a^5*X a*X a*X a*X a^4*X  X  X a^3*X  X a^2*X  X  X a*X a*X a*X a^2*X a^2*X  0
 0  0  X  0 a^6*X a^5*X a*X a^6*X a^6*X a*X a^6*X a^2*X a*X a^5*X a*X a*X  X  0 a^5*X a^2*X a^4*X a^6*X a^5*X a^4*X a^3*X  0 a^3*X a^6*X  X  0 a^2*X a^4*X a*X a^2*X a^3*X a^3*X  0
 0  0  0  X  X a^4*X a^4*X  X a^6*X a^4*X a^6*X a^6*X a^3*X  X  X  0 a^4*X a^6*X a*X a^2*X  0 a^3*X a^3*X  0 a^3*X a^4*X a^6*X a^5*X  X a*X a*X a^5*X  0 a^6*X a^4*X a^6*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+140x^232+224x^239+637x^240+2016x^247+861x^248+9632x^255+609x^256+16800x^263+623x^264+469x^272+511x^280+196x^288+49x^296

The gray image is a linear code over GF(8) with n=296, k=5 and d=232.
This code was found by Heurico 1.16 in 0.352 seconds.