The generator matrix 1 0 1 1 1 X^2+X 1 1 0 X^2+X 1 1 1 X^2 1 1 1 0 X 1 1 1 1 X 1 1 1 1 1 X^2 X X^2 X 1 1 X^2 0 1 1 1 1 X X^2 1 1 1 1 1 1 X^2+X 1 1 1 1 1 1 X 1 1 X X 1 1 1 1 1 X^2 1 X X^2+X 1 1 X^2 X 1 0 1 1 0 1 1 X X^2+X+1 1 1 X^2+X+1 X^2+X 1 1 0 X X^2+1 1 1 X+1 1 X^2+X+1 X^2+X 1 X^2 0 X^2+X X X^2+1 1 1 1 1 X+1 X 1 1 1 X^2+X X X^2+1 1 1 X^2+X 0 X^2+X+1 X^2+1 1 X^2+X+1 1 0 0 X^2+1 X^2+X X^2+X 1 1 X^2+X X^2+X+1 1 1 0 X^2+X+1 X^2+1 X^2+1 X X X^2+X 0 1 0 1 1 1 X^2 0 0 X 0 0 0 0 0 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X X X X X X X^2+X X^2+X X X^2+X X X^2+X X X X X^2+X X X X^2 X X^2 X^2+X X^2 X X^2 0 0 X 0 X 0 X X^2+X X^2 X X^2+X X X X^2 0 X^2 X^2+X X^2 X^2 X X X^2 X^2 X^2 X^2 0 0 0 0 X 0 0 X X^2 X X^2+X X X^2 X^2+X X X X^2 X^2 X^2 0 X X X^2 X X^2+X 0 X^2+X 0 X^2+X X X^2+X 0 0 0 X^2+X X^2 0 X 0 X^2 X X X X^2+X X X^2 X^2+X 0 X X^2+X X^2+X X^2+X X^2+X X X^2 0 0 X^2 0 0 X^2 X^2+X X^2+X X 0 X X^2 X^2+X X X^2+X X^2 X^2 X X^2 X^2+X X^2 0 0 0 0 X 0 0 X X X^2+X X^2 X^2 X^2 X^2 X^2+X X^2+X X^2 X^2+X X^2+X X^2+X X 0 X^2+X X^2 0 X X^2+X 0 0 X X^2 X X X X^2 0 X^2 X^2 X X X^2+X 0 0 X X X 0 X^2 0 X X^2+X X^2+X X^2+X 0 X^2 X^2+X X^2+X X X^2 0 0 X^2 X^2 X^2+X X^2+X 0 0 X^2 X^2 X X^2 X^2 X 0 X^2+X 0 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 0 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 generates a code of length 75 over Z2[X]/(X^3) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+56x^66+130x^67+217x^68+390x^69+462x^70+558x^71+687x^72+724x^73+659x^74+674x^75+759x^76+580x^77+543x^78+544x^79+417x^80+282x^81+159x^82+126x^83+66x^84+52x^85+26x^86+10x^87+23x^88+18x^89+11x^90+6x^91+5x^92+2x^93+1x^94+3x^98+1x^100 The gray image is a linear code over GF(2) with n=300, k=13 and d=132. This code was found by Heurico 1.16 in 5.45 seconds.