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 X 1 0 1 1 1 0 X^2 1 1 1 X 1 1 X^2 X^2 0 1 0 1 1 1 1 X^2 X X^2 1 1 0 X^2 1 1 1 X 1 1 X 1 1 0 X 0 0 0 0 0 0 X^2 X X^2+X X^2+X X X X^2+X X^2+X X^2 X^2 0 X X X^2+X X 0 X X 0 X^2+X X X^2 X^2 X^2 X^2+X X^2+X X^2+X X^2+X X X^2+X X^2+X X^2+X X X 0 X^2+X X X^2 0 X X X 0 X 0 X 0 0 X^2+X X 0 0 X^2 X X X^2 X^2 X^2 X^2+X 0 X^2+X X^2+X X^2+X X^2+X X^2 0 0 X 0 0 0 X X^2+X X^2+X X X X^2 X X X^2 0 X^2 X^2+X X^2+X X^2+X 0 X X^2+X X^2+X 0 X^2+X X^2+X X^2 X^2 0 0 X^2 X^2 X^2+X X X^2+X X 0 X^2 X X X 0 0 X^2 X^2+X X^2+X X^2+X 0 X^2 0 X^2 0 X X^2 0 X^2+X 0 0 X^2 X X^2+X 0 X X X X X^2+X X^2 X X^2+X X^2+X X 0 0 0 X 0 X X X 0 X^2 0 X X^2+X X^2+X X X^2 X^2 0 0 0 X^2 X^2 X^2+X X X^2+X X X 0 X X^2 X^2+X X^2+X X^2+X X X^2+X X^2+X X X 0 X^2 X^2 X^2+X X 0 X X^2+X X^2+X 0 X X^2+X X^2 X X X^2 0 X^2 X^2 X^2 0 X X^2 X X 0 X^2+X X^2 X^2 0 X^2 X^2+X X X^2+X 0 0 0 0 0 X X X^2 X^2+X X X^2 X 0 X 0 X X X^2+X X^2+X 0 X^2 X X X^2 0 X^2 X^2+X X^2+X 0 X 0 X^2 X X^2+X X 0 X^2+X 0 X 0 X^2+X X^2+X X 0 X^2 X 0 X^2+X X^2+X X^2 X X X^2 X^2+X 0 X^2 X^2 X^2 X^2+X X^2+X X^2+X 0 X^2 X 0 X X^2+X X^2 X^2+X 0 X X^2 X X^2 0 0 0 0 0 X^2 X^2 X^2 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 0 0 0 0 0 X^2 0 X^2 0 0 X^2 generates a code of length 73 over Z2[X]/(X^3) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+62x^64+90x^65+123x^66+180x^67+217x^68+280x^69+261x^70+358x^71+363x^72+330x^73+427x^74+328x^75+254x^76+228x^77+138x^78+106x^79+91x^80+74x^81+56x^82+42x^83+31x^84+20x^85+17x^86+8x^87+3x^88+2x^89+1x^90+2x^91+2x^92+1x^114 The gray image is a linear code over GF(2) with n=292, k=12 and d=128. This code was found by Heurico 1.16 in 1.56 seconds.