The generator matrix 1 0 0 0 0 1 1 1 0 1 X^2 1 X^2 1 X^2+X 1 0 1 1 X 1 0 1 X^2+X 1 1 X 1 1 1 X^2+X X^2 0 X^2 0 0 1 X^2+X 1 1 1 1 1 1 X^2 1 X^2+X X^2 1 1 1 X X 1 1 1 1 1 X 1 X^2+X X^2+X X^2 1 0 0 1 1 1 X 1 1 1 1 1 0 1 0 0 0 0 0 X^2 X^2 1 1 1 1 1 1 X+1 X^2+X X^2+X+1 X^2+X X X^2 1 X^2+1 1 X X 1 X^2+X+1 X^2 X^2+X+1 1 X X 0 1 1 0 X^2 X+1 X^2+X+1 X^2+X+1 X^2 X^2+X+1 X^2+X 1 X 1 X^2 X+1 1 0 1 1 0 X^2 X^2+X 1 X 0 X 1 1 1 0 X^2 1 X^2+X+1 X^2+X X^2+X 1 X X^2+1 X^2 X^2+X+1 0 0 0 1 0 0 X^2 1 X^2+1 1 0 1 X+1 X^2+X+1 X^2+1 0 X 1 X X^2+X+1 1 1 0 X X^2+X X^2+X 0 X^2+1 X^2+X+1 X^2 1 X^2+1 1 X^2 X 0 X^2+X X^2+X+1 1 X^2+1 X^2+1 0 X^2 X^2+X X^2+X+1 1 X^2+X X X X+1 X^2 X^2+1 X^2+1 X+1 X^2 X^2+X+1 1 0 X^2 1 1 0 X^2+X X^2+X X^2+1 X X X^2+X X^2+X+1 X^2+X 1 X^2 X^2+1 X^2 X^2+1 0 0 0 0 1 0 X^2+1 1 0 1 X^2 X^2+1 X+1 X^2 X^2+X X^2+1 X^2+X+1 X^2+X 1 0 X^2+X+1 X+1 X^2+1 X 0 X^2+X X^2+1 X+1 X 0 1 X^2 X+1 1 1 X+1 X^2 X^2+1 X^2+X 0 X X+1 X X^2 X+1 X X^2+1 X^2+X X^2 X^2 X+1 X^2 X^2+X+1 1 X^2+X+1 X^2+X X^2+X X^2+X+1 1 X X+1 X 1 X^2 X^2+X+1 1 X X^2+X X^2+X X^2 X^2 X^2+X+1 X+1 1 X 0 0 0 0 0 1 1 X^2 1 1 X^2+1 X^2 1 X+1 0 1 0 X^2+1 X+1 X^2+X X^2+X X^2+X+1 X X^2+X X^2+X+1 1 X^2 1 X^2+X+1 X^2+X X^2+X X^2+X X+1 X+1 X X+1 X+1 0 X X X^2+1 X+1 X+1 X X+1 X^2+X+1 X^2+1 X^2+X 1 X^2+1 X^2+X+1 X^2+X+1 X^2+X+1 0 1 X^2 X^2+X+1 0 X X+1 X^2+1 X^2+X+1 0 1 X^2+X X+1 X^2 X^2+X+1 X X^2+X X^2+X+1 X^2 X^2+X+1 1 X+1 0 generates a code of length 75 over Z2[X]/(X^3) who´s minimum homogenous weight is 65. Homogenous weight enumerator: w(x)=1x^0+84x^65+350x^66+826x^67+1030x^68+1490x^69+1647x^70+2134x^71+2184x^72+2670x^73+2709x^74+2740x^75+2810x^76+2570x^77+2306x^78+2026x^79+1442x^80+1448x^81+921x^82+534x^83+352x^84+248x^85+97x^86+102x^87+19x^88+18x^89+2x^90+4x^91+2x^92+2x^95 The gray image is a linear code over GF(2) with n=300, k=15 and d=130. This code was found by Heurico 1.13 in 15.8 seconds.