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 1 X^2 1 1 1 X 1 1 1 1 1 X 1 1 0 1 1 1 X 0 1 X^2 X 1 1 1 X 1 X 1 X 1 X 1 1 0 X 1 X X 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 0 X 0 X^2 X 0 X X X^2 X 0 X X^2+X 0 X X^2+X X^2+X X X^2 0 X X X X^2+X X^2+X X^2+X X^2+X X X^2 0 X^2+X X^2+X X X^2 0 0 X^2 X^2+X 0 X^2+X 0 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 0 X^2+X X^2+X X X 0 X^2+X X^2+X X^2 X^2 0 X^2+X 0 X^2+X X 0 X^2 X 0 X X^2+X X^2+X X X^2 X^2+X X^2+X X^2+X X^2+X X^2 X^2+X X^2+X 0 0 X^2 X X^2 0 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 X X^2 X^2 X^2 0 X^2 X^2 X^2 X X 0 X 0 X^2 0 X X^2 0 X X X X X^2+X X^2 X X X^2+X X X^2+X X X X^2 X^2+X X^2 X X^2+X X^2+X X X^2 0 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 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 0 0 0 0 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 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 0 0 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 0 X^2 generates a code of length 82 over Z2[X]/(X^3) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+34x^74+62x^75+91x^76+152x^77+150x^78+156x^79+179x^80+188x^81+179x^82+176x^83+152x^84+116x^85+103x^86+86x^87+70x^88+30x^89+23x^90+16x^91+17x^92+18x^93+17x^94+14x^95+2x^96+6x^97+3x^98+2x^99+2x^101+2x^102+1x^130 The gray image is a linear code over GF(2) with n=328, k=11 and d=148. This code was found by Heurico 1.16 in 0.763 seconds.