The generator matrix 1 0 1 1 1 X^2+X 1 1 X 1 1 X^2 X^2+X 1 X^2+X 1 1 1 0 1 1 1 1 X^2 X^2 X^2+X X^2 X 0 X^2+X 0 X^2+X 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 X^2 X^2 1 1 1 X^2+X 1 X X^2 X^2+X X^2 X^2 1 1 1 X^2+X 1 1 0 1 1 X^2+X X^2+X+1 1 X^2 X+1 1 X X^2+1 1 1 0 1 X+1 0 X+1 1 X 1 X 1 1 1 1 1 1 1 1 1 1 0 X^2+X X^2 X X+1 X^2+1 0 X^2+X X^2 X X^2+X+1 1 0 X X+1 X^2+X 1 X X^2 X^2 0 X^2+X 0 X^2 X^2+X X^2+X X^2 X^2+X X^2 X X^2 1 1 X^2+X+1 X+1 X+1 1 X^2+X+1 1 1 1 0 1 1 1 0 1 1 X^2+1 0 0 X 0 X^2+X 0 X X^2 X X^2+X 0 X^2+X X^2 X^2 X X^2 X X X^2 X^2+X X^2+X X^2 0 X^2+X 0 0 X X 0 0 X X 0 0 X X X^2 X^2 0 0 X X X X^2+X X X X X^2+X X^2+X X^2 0 X^2+X X X^2 0 X^2+X X^2+X X^2 0 0 X^2 X X X X^2+X X^2 X^2 0 X^2 0 0 X^2 0 X X X^2 X^2 X^2 0 X 0 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 0 X^2 0 0 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 0 X^2 0 0 X^2 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 generates a code of length 81 over Z2[X]/(X^3) who´s minimum homogenous weight is 75. Homogenous weight enumerator: w(x)=1x^0+106x^75+205x^76+178x^77+187x^78+182x^79+149x^80+174x^81+139x^82+126x^83+152x^84+132x^85+140x^86+76x^87+20x^88+22x^89+12x^90+20x^91+11x^92+6x^93+2x^95+6x^96+1x^110+1x^114 The gray image is a linear code over GF(2) with n=324, k=11 and d=150. This code was found by Heurico 1.16 in 0.632 seconds.