The generator matrix 1 0 0 0 1 1 1 X^2 1 1 X^2 1 0 X 1 X X X X^2+X 0 1 1 X^2+X 1 1 0 1 0 1 1 1 1 1 X^2 1 1 X 1 0 0 X^2+X 1 X 1 X X^2+X X^2 1 1 1 X 1 1 0 1 1 1 X^2 1 X^2 X 0 1 X 1 1 0 X X X^2+X 1 X 1 X^2 X^2 X^2 1 1 X^2+X 0 1 1 1 1 1 1 0 1 1 X^2+X 1 0 1 0 0 0 0 X^2 X^2 X+1 X^2+X+1 1 X+1 1 1 1 X^2+X 1 1 1 1 X^2+X+1 X^2+X 0 X^2+X 0 X^2+X X X^2 X^2+1 X+1 X^2+1 X^2+X X^2+X+1 1 0 X^2 X^2+X 1 1 1 X^2 1 X X 1 1 X^2+X X X X^2+X+1 1 X^2+X+1 X^2+X+1 1 0 0 X^2+X+1 1 0 X X 1 0 1 X^2+X 1 1 X X^2 1 1 1 X^2+X+1 1 1 1 X^2+1 X^2 1 1 X^2+1 X^2+X+1 1 X^2+X+1 X^2 1 X^2 X^2+X+1 1 X^2+X X^2+X 0 0 1 0 0 X^2+1 1 1 0 X^2+1 X+1 X^2 X^2 X^2+1 1 X^2+X X^2+X X^2+X X^2+1 X^2+X+1 X^2+X+1 0 1 X+1 X^2+X 1 1 X^2+X 0 X X^2+X+1 X^2+1 X^2 X X^2 X^2 1 X+1 X^2+1 X^2+X+1 1 1 1 X^2 0 X^2+X+1 1 X X+1 1 X^2 1 X^2+X X X^2+X+1 X X^2 0 X+1 1 1 X+1 X^2+X+1 X^2+X+1 0 X^2+X X 1 1 1 X^2+X X+1 0 X+1 X^2+X+1 X^2 1 1 X 1 X^2+X+1 X^2+1 X^2+1 X^2+X+1 X 1 1 0 X^2 1 0 0 0 0 1 X+1 X^2+X+1 0 X+1 X^2 X^2 0 X^2+X+1 1 X^2+X+1 X^2+X+1 1 X+1 X X^2+X X^2+1 X+1 X^2+X+1 1 X^2+X X^2 X^2 X+1 1 X^2+1 X X^2 X^2+1 X^2+1 X^2+X X^2+X 1 X^2 X X^2+1 X^2+X X^2+X+1 X^2+1 X X+1 X^2+X+1 X+1 X^2+X+1 X^2 X X^2 1 1 X^2+X X^2 X X^2+X X^2+1 X+1 1 X X+1 X^2+X+1 X^2 X^2+X X^2+1 X^2+X 1 X^2+X+1 X^2 X^2+X 1 X^2+1 X^2+X X+1 X^2 X 0 X X^2 1 X^2+1 X X^2+X X+1 1 X+1 X^2 X^2+X+1 1 X^2+X+1 X^2 0 0 0 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 0 generates a code of length 91 over Z2[X]/(X^3) who�s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+594x^84+1154x^86+1478x^88+1312x^90+1107x^92+844x^94+728x^96+484x^98+273x^100+124x^102+71x^104+16x^106+2x^108+2x^110+2x^112 The gray image is a linear code over GF(2) with n=364, k=13 and d=168. This code was found by Heurico 1.16 in 68.8 seconds.