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

generates a code of length 37 over F8[X]/(X^2) who´s minimum homogenous weight is 216.

Homogenous weight enumerator: w(x)=1x^0+112x^216+1134x^224+2233x^232+3066x^240+4102x^248+5194x^256+229376x^259+6055x^264+5936x^272+3528x^280+1197x^288+210x^296

The gray image is a linear code over GF(8) with n=296, k=6 and d=216.
This code was found by Heurico 1.16 in 20.7 seconds.