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

generates a code of length 35 over F8[X]/(X^2) who´s minimum homogenous weight is 216.

Homogenous weight enumerator: w(x)=1x^0+77x^216+56x^217+56x^219+581x^224+1456x^225+1960x^227+896x^231+2002x^232+9184x^233+7224x^235+12544x^239+8869x^240+34384x^241+22456x^243+43904x^247+19866x^248+69608x^249+25648x^251+518x^256+490x^264+287x^272+77x^280

The gray image is a linear code over GF(8) with n=280, k=6 and d=216.
This code was found by Heurico 1.16 in 7.44 seconds.