The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 X 1 1 1 X 1 1 1 X^2 1 X 1 0 1 1 X^2 1 1 1 X^2+X X 1 1 X^2 1 1 1 X X^2+X X^2 0 1 1 1 1 1 1 1 X 0 1 1 1 0 1 1 X^2 1 1 X^2 1 0 1 1 X^2 0 1 1 X^2+X X^2+X+1 1 0 X+1 1 X 1 X^2+1 X X^2+X+1 1 X^2+1 X^2+1 X^2 1 0 1 X^2+X 1 1 X^2+X 1 X+1 X^2 X^2+X+1 1 1 1 X 1 0 1 0 1 1 1 1 1 X X+1 X+1 X X^2 X^2+X 1 1 1 X^2+X X^2+X+1 1 X^2+X X^2+X 1 0 0 1 X^2+X+1 0 0 X^2 1 0 0 X 0 X^2+X 0 X^2+X X^2 X X X X^2 X^2+X X X^2+X X^2 X X^2+X X 0 0 X^2 X^2 X^2+X X 0 X^2 X^2+X X^2 X^2 X X^2+X X^2+X X^2+X 0 0 X^2+X X^2+X 0 0 X X^2+X X^2 0 X^2 0 X 0 X^2+X X^2 0 0 X^2 0 X X^2 0 X^2+X 0 X^2+X 0 X X^2 0 X 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 0 0 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 X^2 0 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 0 0 0 0 0 X^2 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 0 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 generates a code of length 65 over Z2[X]/(X^3) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+142x^58+128x^59+269x^60+276x^61+345x^62+392x^63+336x^64+460x^65+313x^66+400x^67+247x^68+268x^69+216x^70+104x^71+84x^72+20x^73+52x^74+18x^76+13x^78+3x^80+5x^82+1x^84+2x^86+1x^92 The gray image is a linear code over GF(2) with n=260, k=12 and d=116. This code was found by Heurico 1.16 in 1.29 seconds.