The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 1 X 1 X^2 1 X^2 1 1 1 X 1 X 1 1 1 X^2+X 1 1 1 0 X^2 1 0 1 0 1 1 1 1 0 X^2+X X^2 1 1 1 X^2+X 1 1 1 X^2+X X 1 1 0 1 X 0 0 1 1 X^2 X^2+X 1 X X^2 1 0 1 1 X^2+X X^2+X+1 1 0 X+1 1 X X^2+1 1 0 1 1 1 X^2 X^2+X+1 1 1 X^2+X 1 X+1 X X+1 1 0 1 X 1 1 X 1 X^2 1 1 X^2+1 X^2 0 1 1 1 X^2+1 1 0 1 X^2+X+1 X+1 X 1 X X^2+X X+1 1 X 1 1 0 X^2+1 X^2+X+1 X^2 1 1 X 1 1 0 0 X 0 X^2+X 0 X^2+X 0 X^2+X X^2+X X^2 X X^2 X X 0 X^2+X X^2+X X^2 X 0 X^2 X^2 X 0 X^2 0 X^2+X 0 0 X X X^2+X X^2+X X^2 X^2+X X^2 X 0 X X 0 0 X^2+X X^2+X X X^2 X X^2+X X X X^2+X 0 X^2 X 0 X^2 X X^2 X^2+X 0 0 X^2+X X^2+X X^2 X 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 0 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 0 X^2 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 generates a code of length 66 over Z2[X]/(X^3) who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+48x^57+152x^58+252x^59+272x^60+556x^61+415x^62+792x^63+450x^64+976x^65+562x^66+884x^67+442x^68+784x^69+408x^70+516x^71+199x^72+176x^73+84x^74+112x^75+32x^76+20x^77+31x^78+4x^79+5x^80+10x^82+6x^84+2x^86+1x^88 The gray image is a linear code over GF(2) with n=264, k=13 and d=114. This code was found by Heurico 1.16 in 37.6 seconds.