The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 X 1 1 1 0 0 1 1 X^2+X X^2+X 1 1 1 1 1 1 0 1 1 X^2+X 1 1 X 1 1 X 1 1 X^2 1 X^2+X 0 1 1 1 1 X^2 1 1 1 0 X^2 1 1 1 1 X 0 0 1 1 1 1 1 X 1 1 1 1 1 0 1 1 X^2+X X^2+X+1 1 0 X+1 1 X 1 X^2+1 1 X^2+X 1 1 0 X^2+X+1 1 1 X^2 X^2+X X+1 X^2+1 X^2+X+1 0 1 X+1 1 1 X^2+X 1 1 X^2+1 X+1 1 X+1 X^2 1 X 1 1 1 1 0 X^2+X 1 X^2 X X 1 1 X+1 X^2 X^2+X+1 X^2 1 1 1 X X^2+X+1 X^2+1 X^2+1 X+1 X^2 X^2+X 1 0 X^2+X 0 0 0 X 0 X^2+X 0 X^2+X X^2 X X X^2+X 0 X X^2 0 X^2+X 0 X X^2+X X^2 X X 0 X^2 X X^2 X^2 0 0 X^2 X^2 X^2+X X 0 X^2+X X X^2 X^2+X X X^2+X X^2+X X X^2+X X^2+X X^2 X X 0 X^2+X X^2 X^2 X^2 X X^2 X^2 X^2+X X^2 0 0 X X^2 X^2+X X^2+X X^2 X^2+X X^2 X^2 0 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 0 0 0 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 0 0 X^2 0 0 X^2 0 0 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 0 0 0 X^2 0 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 X^2 X^2 0 0 X^2 generates a code of length 70 over Z2[X]/(X^3) who�s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+31x^62+98x^63+175x^64+264x^65+327x^66+322x^67+352x^68+370x^69+340x^70+356x^71+343x^72+306x^73+278x^74+216x^75+130x^76+74x^77+27x^78+18x^79+13x^80+6x^81+15x^82+14x^83+6x^84+4x^85+2x^86+3x^88+4x^90+1x^96 The gray image is a linear code over GF(2) with n=280, k=12 and d=124. This code was found by Heurico 1.16 in 1.12 seconds.