The generator matrix 1 0 1 1 1 X^2 1 1 0 0 1 1 1 X^2 1 1 1 X^2 1 1 0 1 X^2 1 1 1 X^2+X 1 X^2+X 1 1 1 X 1 X^2 X^2+X 1 1 X 1 1 1 1 0 1 X^2 1 1 1 1 X^2 1 1 1 0 X^2+X 1 1 1 X^2 X 1 X 1 X 1 X 1 1 1 0 X^2 1 1 1 1 X^2+X 1 1 0 1 X 0 1 1 0 1 1 X^2 X+1 1 1 0 X+1 1 1 0 0 X^2+1 1 X^2+1 0 1 X^2 1 X+1 X^2+X+1 X^2 1 X^2+X+1 1 X^2+X X+1 X 1 X^2+1 1 1 X^2+X+1 X+1 1 X^2+1 X^2 X X^2+1 1 1 1 X^2+X X^2+1 X X^2 1 1 X^2+X X^2+1 1 1 X^2 X X^2+X+1 1 1 0 1 X^2 1 X^2+1 1 0 1 X 1 1 X+1 0 X X^2+X 1 X^2+X X^2+1 0 X^2 1 0 0 X 0 0 0 0 0 0 0 0 X^2 X^2 X X X X^2+X X^2+X X^2+X X^2+X X^2+X X^2+X X X X^2 X^2 X^2+X X^2+X X^2 X X^2 X X X^2 0 X^2+X X^2+X X X X 0 X X^2+X X^2 X^2+X X^2 0 X^2+X X^2 X X^2+X X^2 X X^2 0 X 0 X^2+X X^2+X X^2+X 0 X 0 X^2+X X^2 0 X^2+X X^2 X X^2 X X 0 X^2 X^2+X 0 X X^2 0 X^2 X^2 0 0 0 0 X 0 0 X^2 X^2 X^2+X X^2+X X^2+X X X X X^2 X X X^2 0 0 0 X^2+X X^2+X X^2+X X^2 X^2+X X^2+X X^2 0 X^2 X^2+X X^2 X^2+X 0 0 0 X^2+X 0 X^2 0 X X X X^2+X X^2+X X^2+X X^2+X X^2 X^2 X 0 X^2+X X 0 X X X^2 X^2 0 X^2+X X^2+X X^2+X X^2 X X^2 0 0 X X^2+X 0 0 X^2 X X^2 X^2+X X^2+X X^2 X X^2 X X X 0 0 0 0 X X^2+X X^2+X 0 X X^2 X X^2+X X^2 X X X^2 X X^2+X X 0 X^2 X 0 0 X^2+X X^2+X X^2 0 X^2+X X^2+X 0 X^2 X^2+X 0 X^2 X^2+X X^2 X^2+X X^2 X^2 X^2 X^2 X^2+X 0 0 X^2+X X^2+X 0 X X 0 X X X^2+X 0 X^2+X 0 0 X^2+X X^2 X^2+X 0 X 0 X^2 X^2 0 X^2+X X^2+X 0 X X^2+X X 0 X^2+X X^2 X^2+X 0 X^2 X^2 0 X^2 generates a code of length 82 over Z2[X]/(X^3) who´s minimum homogenous weight is 75. Homogenous weight enumerator: w(x)=1x^0+122x^75+253x^76+324x^77+300x^78+348x^79+373x^80+262x^81+307x^82+284x^83+321x^84+314x^85+249x^86+238x^87+155x^88+104x^89+29x^90+20x^91+34x^92+8x^93+7x^94+6x^95+10x^96+10x^97+2x^98+6x^99+4x^100+2x^101+2x^106+1x^112 The gray image is a linear code over GF(2) with n=328, k=12 and d=150. This code was found by Heurico 1.16 in 9.03 seconds.