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 0 1 X^2 1 1 1 1 X^2 1 1 1 1 1 1 1 0 1 X 1 1 1 X 1 1 1 X X 1 X X 1 1 X 1 1 1 0 X 1 1 1 0 X 0 0 0 X X^2+X X X^2 X^2 X 0 0 X X X^2+X 0 0 X^2+X X X^2 X X^2+X X^2 X^2 0 X^2 X X^2+X X 0 X^2+X X X^2+X X^2 0 X X^2 X^2+X X^2 X^2 X X^2+X X^2 X^2 X^2+X X X^2+X 0 X X 0 X^2+X X^2+X 0 0 0 X 0 X^2+X X^2+X 0 X^2+X X^2 X^2+X X^2+X X^2 X^2+X X^2+X X^2+X X X^2 X^2+X X^2+X X^2+X X X^2+X X^2+X X X^2+X 0 0 X 0 X X X 0 X^2 0 X^2+X X X^2+X 0 X^2+X 0 X^2 X^2+X X^2 X^2+X 0 X^2 X X 0 0 X X X^2 X^2+X X X^2 0 0 X 0 X^2 X X X X^2+X X^2 X^2+X X^2+X X 0 X^2+X X X 0 X X^2+X X^2 X^2+X 0 X^2 X X^2+X X^2 X^2+X X X^2 0 X^2+X X^2 X^2+X 0 X 0 X X X X^2 X^2 X^2 X^2 0 X X^2+X X 0 0 0 X X 0 X X^2+X 0 X X^2 X X^2 X^2+X X 0 X^2 X X 0 X^2+X X^2 X^2+X X^2 X^2+X 0 X X^2+X 0 0 X^2 X X^2+X X^2+X 0 0 0 X^2+X X 0 X^2+X X^2+X X X^2+X X^2 0 0 X^2 X^2 0 X^2+X X^2 X^2+X 0 X X X X^2 X^2 X X 0 X^2 0 X^2 X^2+X X X X^2 X^2+X X X^2+X X^2+X 0 X^2+X X^2+X 0 X^2+X X^2+X X 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 X^2 X^2 generates a code of length 80 over Z2[X]/(X^3) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+38x^72+72x^73+82x^74+112x^75+117x^76+150x^77+173x^78+218x^79+253x^80+186x^81+165x^82+126x^83+68x^84+78x^85+60x^86+34x^87+24x^88+16x^89+23x^90+20x^91+11x^92+8x^93+6x^94+2x^97+2x^98+2x^99+1x^134 The gray image is a linear code over GF(2) with n=320, k=11 and d=144. This code was found by Heurico 1.16 in 0.718 seconds.