The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 1 X 1 1 1 0 X 0 0 0 X X^2+X X^2+X 0 0 0 0 X^2+X X X X^2+X X^2 X^2+X X^2 X 0 X^2 X^2+X X^2+X 0 X^2+X X^2 X^2+X 0 X^2 X^2+X X^2+X X X^2 0 X X X^2 X X^2 X^2+X 0 X 0 X^2 X^2 X^2+X X^2+X X^2+X X^2+X 0 X^2 X^2 0 X^2+X X^2 X^2+X X X^2 X X^2 0 X^2+X X X^2+X X 0 X^2 X^2 0 0 X^2+X 0 X^2 0 0 X^2+X X X X X^2+X 0 X^2+X X^2 X X^2 0 X^2+X 0 X^2 0 0 X 0 X X X X^2 X^2 X^2 X X X X^2+X 0 0 X^2 X X^2+X X^2 X^2 X^2+X X X^2 0 0 X X^2+X X^2+X 0 0 X 0 X 0 0 X^2+X 0 X^2+X X X^2 X^2 0 X^2+X X^2 X X^2+X X^2+X X X^2+X X^2 X^2 X X^2+X 0 X^2+X X X^2 X X^2+X X^2 X^2 X^2 X^2 X^2+X X^2 X^2+X 0 0 X^2+X 0 0 0 X X^2+X X^2 X^2+X X^2+X X^2 X X 0 X^2 X^2 X^2+X X^2+X X^2 X^2 X 0 0 0 0 X X 0 X X X X^2 X X^2 X^2 X X^2+X 0 0 X X^2+X 0 X^2+X X^2 0 X X^2 0 X^2+X X 0 X^2+X X^2+X X^2 X^2 X X^2 X^2+X X^2 X X^2+X X^2 X^2+X X X^2 X^2 X^2 X 0 X X^2+X X^2 0 X^2+X 0 X^2+X X^2 X 0 X^2+X 0 X^2+X X^2+X 0 X^2 X^2+X X^2+X X^2 X^2+X X 0 X X X^2 X^2+X X^2+X 0 X^2+X X^2+X 0 X^2 0 X^2+X 0 0 X X X^2+X X 0 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 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+19x^84+50x^85+44x^86+66x^87+46x^88+274x^89+44x^90+274x^91+42x^92+54x^93+36x^94+38x^95+16x^96+6x^97+4x^98+6x^99+3x^100+1x^176 The gray image is a linear code over GF(2) with n=360, k=10 and d=168. This code was found by Heurico 1.16 in 0.647 seconds.