The generator matrix 1 0 0 0 1 1 1 1 1 1 1 X^2 0 X^2+X X^2 0 0 1 1 0 X 1 X 0 1 1 1 X 1 X 1 1 1 X^2+X X^2+X 1 1 1 X^2+X 1 0 1 1 X X X 1 1 1 X^2 X 1 X^2+X 1 X 1 X^2+X X^2+X 1 X 0 1 X^2+X 1 1 1 1 1 X^2+X 1 X^2+X 0 1 1 1 0 1 0 0 0 0 1 X^2+X+1 1 1 X^2+X 1 1 X 1 0 X X+1 X 1 1 X 1 X^2+X X+1 X+1 X^2+X 1 X^2+X+1 1 X^2 X+1 X^2+1 X^2 X^2 X^2+X+1 X^2+X 0 1 1 1 X^2+X+1 X 1 1 X^2+X X X^2+X+1 X^2+1 X^2 1 X^2+X 1 X^2+X X^2 X^2+X+1 1 1 X^2 X 1 X 1 X+1 X X^2+X+1 X X 1 X+1 1 X^2+X X X^2+1 0 0 0 1 0 0 1 0 1 X^2+1 X^2 1 X^2+X+1 X+1 1 X^2 X 1 X^2+X+1 X+1 X^2+1 0 X^2+X X+1 1 X^2+X X^2 X+1 1 X^2+X+1 0 X X X+1 1 1 X+1 1 X^2 X^2 0 X^2+1 X^2 1 X^2+X X^2+X+1 X^2+X X^2 X+1 1 1 X+1 X^2+X+1 X^2 0 X X^2+1 1 0 1 1 X^2+X X^2+X X^2+1 0 X^2+X+1 X+1 X X^2+1 X+1 X^2+X+1 X X^2 X+1 X^2 0 0 0 0 1 1 X+1 X^2+X+1 X^2+1 X^2 X X^2+X X^2+1 0 X^2+X+1 1 1 1 X+1 X^2+X+1 X^2+X X^2+X+1 X+1 1 X^2 1 0 X^2+X 0 X^2 0 X^2+X X 1 X^2+1 0 0 X^2+X+1 X+1 1 1 X^2 X^2+X 1 X+1 1 1 X^2 X^2+1 X^2+X X^2+1 X X^2 X^2+X X 1 X^2 X+1 X^2+1 X X^2+1 0 X^2+1 0 X^2+X X^2 X 0 X^2 X^2+X+1 X^2+1 X^2 1 1 X+1 0 0 0 0 0 X X X X 0 0 0 X^2+X X^2 X^2+X X^2+X X X^2+X X X^2+X X^2 X^2+X X X^2+X 0 X^2+X X^2 0 0 X^2 X X^2+X X^2+X 0 0 X^2+X X X^2 X^2 0 X^2 X X^2+X 0 X^2 X^2 X^2+X X^2+X 0 X^2+X 0 X X^2 X X^2+X X X^2+X X^2 X^2+X X X X^2+X X X X X^2+X X^2 X^2 X^2+X 0 X^2+X X 0 X X 0 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 0 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+114x^65+380x^66+746x^67+1033x^68+1454x^69+1766x^70+2070x^71+2260x^72+2404x^73+2808x^74+2752x^75+2804x^76+2640x^77+2376x^78+2098x^79+1545x^80+1242x^81+858x^82+552x^83+379x^84+224x^85+118x^86+64x^87+38x^88+14x^89+14x^90+6x^91+4x^92+2x^93+2x^97 The gray image is a linear code over GF(2) with n=300, k=15 and d=130. This code was found by Heurico 1.16 in 50.5 seconds.