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

generates a code of length 37 over F8[X]/(X^2) who´s minimum homogenous weight is 248.

Homogenous weight enumerator: w(x)=1x^0+5131x^248+10346x^256+17234x^264+14x^272+7x^280+7x^288+28x^296

The gray image is a linear code over GF(8) with n=296, k=5 and d=248.
This code was found by Heurico 1.16 in 5.85 seconds.