The generator matrix 1 0 0 1 1 1 0 1 1 1 X^2+X 1 0 X^2 1 1 1 X^2+X 1 X X X 1 1 X^2+X 1 X^2 1 1 X^2+X 1 X 1 1 1 1 1 X 0 X 1 1 1 1 1 X 1 X^2 1 X^2 X^2 0 1 1 1 1 1 1 1 1 1 0 0 1 0 1 1 X^2 1 1 1 1 1 0 1 0 0 1 1 1 X^2 X^2+X+1 X+1 1 X 1 X^2+X X^2+X X^2+X+1 X^2+X 1 1 X^2+X 1 X^2 X+1 X 1 X^2 1 X^2+1 X^2+1 X^2 X^2 1 X^2+X+1 X 1 X X^2+X 1 1 X X+1 X^2 X^2+X X+1 X^2 1 X+1 1 X^2+X 1 1 1 X^2+X+1 X^2+1 X^2+1 X^2+1 X^2+X+1 X+1 X^2 1 X^2+X+1 1 0 X^2+X+1 X^2+X X X^2+X X X^2+X 0 X^2 0 0 0 0 1 X+1 X^2+X+1 0 X+1 X X^2+X X^2+X+1 X^2+X+1 X^2+1 X^2+X 1 X^2 1 X+1 X^2 X 1 1 1 0 X X^2+X 1 1 1 X^2+1 1 0 X^2+X+1 X^2+1 X X^2+X 1 X+1 X^2+X X^2+X+1 1 X^2+X+1 X^2+X+1 X^2 X^2+X+1 X^2+1 X+1 0 1 X^2+X 0 X^2+X 1 X^2+X X+1 X^2+X+1 X^2+1 X+1 X+1 X^2 0 X^2 X+1 1 X+1 1 X^2+1 X^2+1 1 X^2 X^2 X^2+X 1 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 0 X^2 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 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 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 X^2 0 X^2 0 0 generates a code of length 73 over Z2[X]/(X^3) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+61x^66+216x^67+208x^68+446x^69+329x^70+478x^71+258x^72+520x^73+231x^74+362x^75+167x^76+206x^77+115x^78+176x^79+68x^80+92x^81+59x^82+42x^83+29x^84+16x^85+3x^86+6x^87+5x^88+1x^90+1x^94 The gray image is a linear code over GF(2) with n=292, k=12 and d=132. This code was found by Heurico 1.16 in 0.956 seconds.