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 X^2 X 1 1 1 1 1 1 1 1 1 1 1 1 X^2 X^2 1 1 1 1 1 1 1 1 1 1 X^2+X X^2+X 1 X^2+X 1 1 1 X^2+X 0 1 1 1 1 1 1 X^2 1 1 1 1 1 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 0 X^2+X X^2+X+1 1 1 1 1 X+1 1 X^2+X+1 X^2+X+1 X^2+1 1 X+1 X^2+X+1 X^2+X+1 1 1 X^2+1 1 X^2 0 1 1 1 X+1 X^2+1 X^2 X^2+X+1 1 X 1 0 0 1 1 X X+1 X^2+X 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 X^2 X^2 0 0 X X 0 0 X^2 X X^2 X^2 0 0 X^2 X X X X X^2+X X^2 X X^2+X X^2+X X^2 0 X^2 X^2+X 0 X^2+X X^2+X X^2 X 0 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 X^2 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 0 0 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 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 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 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 0 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 generates a code of length 79 over Z2[X]/(X^3) who´s minimum homogenous weight is 73. Homogenous weight enumerator: w(x)=1x^0+130x^73+199x^74+152x^75+160x^76+168x^77+177x^78+150x^79+145x^80+162x^81+171x^82+134x^83+139x^84+110x^85+11x^86+2x^87+1x^88+4x^89+10x^90+10x^91+1x^92+2x^93+6x^94+1x^96+2x^110 The gray image is a linear code over GF(2) with n=316, k=11 and d=146. This code was found by Heurico 1.16 in 55.8 seconds.