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
 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  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  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*X
 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 a^2*X

generates a code of length 34 over F8[X]/(X^2) who´s minimum homogenous weight is 200.

Homogenous weight enumerator: w(x)=1x^0+357x^200+1722x^208+2639x^216+3724x^224+5215x^232+229376x^238+6370x^240+6545x^248+4319x^256+1596x^264+280x^272

The gray image is a linear code over GF(8) with n=272, k=6 and d=200.
This code was found by Heurico 1.16 in 19 seconds.