The generator matrix 1 0 1 1 1 0 X 1 1 1 1 X^2+X 1 1 0 1 1 X 1 1 X^2 1 X^2+X 1 1 1 1 1 0 1 1 X 1 1 X X^2 1 1 1 1 0 1 0 1 1 1 X X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X 1 X 1 1 0 1 X^2+X 1 X X^2+X X 1 X 0 1 1 X^2+X X 0 1 1 X^2+X X^2+X+1 1 1 X^2 X+1 X X^2+1 1 X^2+X X^2+X+1 1 X^2 X+1 1 X 1 1 X^2+1 1 X^2+X X^2 X 0 X+1 1 X^2 X+1 1 X 1 1 1 1 0 0 X^2+X+1 1 X^2+X+1 1 X X^2+1 X^2+1 1 1 0 X 0 0 0 0 X X X^2 X X^2+X X X^2+X 0 X^2 0 X^2 X^2+X X^2+X X^2+X X+1 X+1 1 1 X^2+1 X^2+X X X^2+X+1 1 X+1 1 X^2+1 X^2+X 1 X^2 1 X 1 X^2+X+1 X+1 1 0 0 0 X 0 X^2+X X^2+X X X X^2 X^2+X 0 0 X^2 X X^2 X X^2 X X^2+X X^2+X X^2+X 0 X^2 0 0 X^2 0 0 0 X^2+X X^2+X X^2+X X X^2 X^2 X X^2+X X^2 X^2+X X X^2 0 X X X X^2 X^2+X 0 X^2 X^2 X^2 X X 0 X^2 X^2 0 X X^2+X X X^2+X 0 X X X^2 0 X^2 0 0 X^2+X X^2+X X^2+X 0 0 X 0 0 X^2+X X^2+X X^2 0 X^2+X X^2+X X X^2 0 X^2 X 0 0 0 0 0 X^2 0 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 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 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 0 X^2 0 X^2 0 0 X^2 0 0 X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 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+249x^84+353x^86+314x^88+317x^90+295x^92+259x^94+163x^96+61x^98+26x^100+2x^114+5x^116+2x^120+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 2 seconds.