The generator matrix 1 0 1 1 1 X^2 X 1 1 1 X^2+X 1 1 1 X^2+X 1 1 X^2+X 1 1 X^2 1 1 X^2 1 1 X^2 1 1 X^2 0 1 1 1 X^2+X 1 X 1 X^2 1 1 1 X^2+X 1 X^2+X 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X 1 1 1 X X^2 1 1 X 1 1 1 1 1 1 0 1 1 X^2 1 X^2+X 1 1 1 1 1 0 1 1 X^2+X X^2+X+1 1 1 X+1 X X^2+1 1 X^2 X X+1 1 X X+1 1 0 1 1 0 1 1 0 X^2+X+1 1 X^2+X 1 1 1 X^2 X^2+X+1 X 1 1 1 0 1 0 X^2+X+1 X 1 X 1 X^2+1 X^2+X+1 1 X+1 X^2+1 X^2+X X^2+X+1 1 X+1 X^2+1 X+1 X^2+1 X+1 X+1 1 X^2+1 X^2+X+1 X^2+1 X^2+X+1 X^2+1 X^2 X^2 X^2 0 X X^2+X 0 0 X^2+X X X^2+X X X X^2 X^2 X X^2 X^2+X X 0 X^2 X^2+X X X^2 X 0 X^2+1 1 X^2+X+1 X^2+1 1 X^2+X 0 0 0 X 0 X^2+X X X X^2 X X^2 0 X X^2+X X^2 0 0 X X^2+X 0 X^2+X 0 X^2+X X^2 X^2+X 0 X X 0 X X^2+X 0 X^2+X X^2 X^2+X 0 X^2 X 0 0 X X^2 0 X^2+X X 0 X^2 X X X^2+X X^2+X X^2 X^2+X X 0 X^2 0 X^2 X^2+X X X^2+X X^2+X X^2 0 X^2 0 0 X X^2 X^2 X^2+X 0 X X^2 X^2 X^2+X X X X X^2 0 X^2+X X^2+X X X^2 X^2+X 0 X^2 X^2+X X^2+X X X X X^2+X 0 X^2+X X^2+X X^2+X X 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 generates a code of length 98 over Z2[X]/(X^3) who�s minimum homogenous weight is 93. Homogenous weight enumerator: w(x)=1x^0+60x^93+105x^94+164x^95+77x^96+144x^97+45x^98+132x^99+57x^100+64x^101+57x^102+34x^103+24x^104+16x^105+16x^106+16x^107+1x^108+4x^109+2x^119+4x^123+1x^146 The gray image is a linear code over GF(2) with n=392, k=10 and d=186. This code was found by Heurico 1.16 in 0.833 seconds.