The generator matrix 1 0 1 1 1 0 1 X^2+X 1 X^2 1 1 1 1 0 1 1 1 1 0 1 X^2 0 1 1 1 X X^2+X 1 1 1 X^2 1 1 1 X^2+X 1 X 1 X^2 1 X^2 1 1 X^2 1 1 X 1 1 X 1 1 1 X^2 X X 1 0 1 X^2 X^2+X 1 X 1 1 1 X^2+X 1 X^2+X 0 X X^2 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 X 1 0 1 1 0 X^2+X+1 1 X 1 X+1 1 X^2+X X^2+1 X^2 1 1 X^2+X+1 X 1 X 1 X^2 1 1 X^2+1 X^2 X^2+X+1 1 1 X+1 X^2+X 0 1 0 X X^2+X+1 1 X^2+1 1 X^2+1 1 X^2+X+1 1 1 X^2 1 1 0 1 0 X^2 1 X X^2+X X^2+X 1 1 1 X^2 1 X^2+1 X 1 X^2+X 1 X^2+1 X X^2 1 X^2+X 1 0 X^2 1 X^2+1 X^2+X+1 X^2+X+1 X+1 X+1 X X^2+X X^2+X 0 X^2+X 1 X X^2+1 X^2 0 1 X^2+1 0 0 X 0 X^2+X X X^2 X X^2+X X 0 X^2+X X^2+X 0 X^2 0 X^2+X X^2 X 0 X X^2+X X X^2 X^2 X 0 X X^2 0 X^2 X^2 X^2+X X^2+X X^2 X^2+X X^2+X X^2+X X X X^2+X X^2 X^2 X 0 0 X^2+X 0 0 0 X^2+X X X^2 X^2+X X^2+X 0 X X 0 0 X^2+X X^2+X X X^2 X 0 X^2 0 0 X 0 X^2 X^2+X 0 X^2 X 0 0 X^2 X^2 X^2+X X^2 X X^2 X^2 X^2 X X X X 0 0 0 X 0 X X X X X^2 X^2 X^2+X X^2 X^2+X X X^2+X X^2 X^2 X^2+X 0 X^2+X X^2+X X^2 X^2 X^2+X X^2 X X^2 X^2 X^2 0 X^2+X X^2 X^2 X^2 X^2 X^2+X X X^2 X X X^2+X X X^2+X X^2 X^2+X X X^2 0 X X X X^2+X X 0 X^2+X X^2 X^2 X X^2 X X^2 X 0 0 X^2+X X^2+X 0 0 0 X X^2 X^2+X X^2 X X^2+X X X^2+X X^2 X X^2 X 0 X 0 X^2+X 0 X X X 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 generates a code of length 90 over Z2[X]/(X^3) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+146x^84+148x^85+238x^86+144x^87+211x^88+112x^89+202x^90+116x^91+182x^92+92x^93+128x^94+112x^95+81x^96+32x^97+44x^98+12x^99+29x^100+2x^102+3x^104+4x^106+1x^108+4x^110+2x^114+1x^116+1x^124 The gray image is a linear code over GF(2) with n=360, k=11 and d=168. This code was found by Heurico 1.16 in 0.842 seconds.