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  0  1  1  1  1  1  1  1  X
 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 a^6*X+a^6  1 a^5*X+a^2 a^6*X+a^4 a^5*X+a^6 a^6*X+1 a^5*X+a^4 a*X+a^3  1  0
 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 a^5*X a^5*X a^4*X a*X a^3*X a^4*X a^4*X a^4*X a^2*X  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^2*X  0 a^2*X  0 a^5*X a^3*X a*X  X a^5*X a^3*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+504x^216+56x^217+448x^218+2688x^219+1120x^220+721x^224+1176x^225+4032x^226+14336x^227+3360x^228+819x^232+8232x^233+19264x^234+52864x^235+11424x^236+567x^240+19208x^241+33600x^242+73472x^243+12768x^244+602x^248+546x^256+259x^264+77x^272

The gray image is a linear code over GF(8) with n=272, k=6 and d=216.
This code was found by Heurico 1.16 in 6.8 seconds.