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 X 1 1 0 X 0 X X^2 X 0 0 0 0 X 1 X 1 X X^2 X 0 0 X X X 1 0 X 0 0 0 0 0 0 0 X X^2+X X X X^2+X X^2 0 X X^2 X^2+X X X X^2 X X X 0 0 X^2 0 0 X^2 X^2+X 0 X^2+X X X^2 X^2+X X^2+X 0 X^2 X X^2+X X 0 0 X^2+X X^2 X 0 X X 0 X^2 X X^2 X^2 X^2+X X X^2+X X X X X 0 X 0 0 X 0 0 0 X X^2+X X 0 0 0 X X 0 X X^2 X X^2+X X^2+X 0 X^2 0 X^2 X^2+X X^2 X^2 X X^2+X 0 X X^2+X X X^2 X 0 X X^2 X^2 0 0 0 X^2 X^2+X 0 X X^2 X X^2 X^2+X X^2 0 X X^2+X 0 X X X^2 X X^2+X X^2 X^2+X X^2 X 0 0 0 0 X 0 X X X^2+X 0 X X X^2 0 X^2 X^2+X X X 0 X^2+X X^2+X X^2 X 0 0 X^2 X 0 X 0 X^2+X X^2+X X X^2 0 X^2 X X 0 X^2 X 0 X^2+X X^2 X X X^2 X X^2+X 0 X^2 0 X X^2 0 X^2+X X^2+X X^2+X X^2 X^2+X X^2+X 0 X^2 0 X^2 X^2+X 0 0 0 0 X X 0 X^2+X X X^2 X^2+X X^2+X 0 X^2+X X^2 X^2 X 0 0 X X^2 0 X^2+X X^2 X X X X 0 0 0 X^2+X X 0 0 X X^2 X 0 0 X^2 X^2+X 0 X X^2 X^2+X X^2+X X^2+X X X X^2 X^2 0 X X^2 0 0 0 X^2 0 X X X^2+X X^2+X X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 generates a code of length 65 over Z2[X]/(X^3) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+172x^54+16x^55+497x^56+92x^57+695x^58+352x^59+776x^60+1020x^61+1031x^62+1640x^63+997x^64+1936x^65+981x^66+1688x^67+989x^68+960x^69+746x^70+392x^71+586x^72+84x^73+377x^74+8x^75+226x^76+4x^77+91x^78+22x^80+3x^82+1x^84+1x^88 The gray image is a linear code over GF(2) with n=260, k=14 and d=108. This code was found by Heurico 1.16 in 21.1 seconds.