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 1 1 1 1 1 1 1 0 0 0 X^2 X^2 X X^2 X^2 X 0 X X X 1 X^2 0 X X 0 0 0 1 0 1 1 0 X 0 0 0 0 0 0 0 0 X^2 X X X^2+X 0 X^2+X X^2+X 0 X X^2 X^2+X X^2 X X X X^2 X 0 X X^2 X^2+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^2 X X^2+X X 0 X^2 X 0 X X^2 X^2+X X X 0 X X^2 0 X X^2+X X X X X^2 0 X 0 X^2+X 0 X X 0 0 X 0 0 0 0 0 0 0 X^2+X X^2 X X X X 0 X 0 X X^2+X X^2 0 X^2+X X X X^2+X X^2+X X^2 0 X^2+X 0 X^2 X^2+X X 0 X^2 X^2 X 0 X^2 X X^2+X X^2+X X X 0 X^2 X X^2 X^2 X^2+X 0 X^2 X^2 X^2+X X^2 X^2+X 0 X 0 X^2+X X^2+X X^2+X X X X 0 X X 0 0 0 0 X 0 0 0 X X^2+X X X X^2+X 0 X X^2 0 X^2+X X^2+X X^2+X X^2 X^2+X X 0 X^2 0 X^2 X X X X^2 X 0 X^2+X 0 X X^2+X 0 X^2 X X X^2 X^2+X 0 X^2 X 0 0 X X^2 X X^2 X^2+X X^2 X^2 0 X^2+X 0 X^2 X^2 X 0 X^2 X 0 X^2+X X^2+X 0 0 X^2+X X^2+X X^2+X 0 0 0 0 X 0 X X X X^2 X X X X^2 X^2 X^2+X X^2+X X^2 X^2 X^2+X X^2+X X X^2+X X^2 X^2 X 0 X^2+X X^2 X^2+X X^2+X X X^2+X X 0 X^2+X X^2+X 0 0 X^2 X X^2 0 X^2+X X^2 X^2 X X^2 0 X^2+X X X^2+X X X X^2 0 X X^2+X X X^2+X X^2+X X^2+X 0 X^2+X X 0 X^2 X^2 X X^2+X X^2 0 0 0 0 0 X X X^2 X^2+X X^2+X X X X^2+X 0 X X^2 X^2 X^2 X^2+X X 0 X^2 X^2 0 X 0 X X^2 X^2 X^2+X X^2+X X^2+X X^2+X 0 X^2 X^2 X^2 X^2 0 0 X^2+X X^2+X X^2+X X^2+X X X X^2 X X^2 X X X 0 X^2 X X^2 X^2+X 0 X^2+X X^2 X X^2 X^2+X 0 0 X X^2 X^2 X X^2 X 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 X^2 0 0 generates a code of length 71 over Z2[X]/(X^3) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+230x^60+4x^61+548x^62+32x^63+820x^64+180x^65+1232x^66+496x^67+1416x^68+884x^69+1910x^70+1008x^71+1946x^72+788x^73+1552x^74+432x^75+1134x^76+184x^77+716x^78+80x^79+399x^80+8x^81+216x^82+115x^84+34x^86+18x^88+1x^100 The gray image is a linear code over GF(2) with n=284, k=14 and d=120. This code was found by Heurico 1.16 in 25.3 seconds.