The generator matrix

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

generates a code of length 35 over F8[X]/(X^2) who´s minimum homogenous weight is 227.

Homogenous weight enumerator: w(x)=1x^0+1288x^227+504x^231+1617x^232+2352x^233+16632x^234+8848x^235+896x^238+7056x^239+9282x^240+7840x^241+33936x^242+18760x^243+3584x^245+6272x^246+24696x^247+21721x^248+14896x^249+56952x^250+24864x^251+63x^256+63x^264+14x^272+7x^280

The gray image is a linear code over GF(8) with n=280, k=6 and d=227.
This code was found by Heurico 1.16 in 6.66 seconds.