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

generates a code of length 34 over F8[X]/(X^2) who´s minimum homogenous weight is 216.

Homogenous weight enumerator: w(x)=1x^0+469x^216+56x^217+798x^224+1176x^225+763x^232+8232x^233+609x^240+19208x^241+567x^248+539x^256+273x^264+77x^272

The gray image is a linear code over GF(8) with n=272, k=5 and d=216.
This code was found by Heurico 1.16 in 0.312 seconds.