The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 0 1 1 1 X^2+X 1 1 X^2+X 1 1 0 X^2 1 1 1 1 1 X^2+X 1 1 1 1 X^2+X 1 X 0 1 1 1 1 1 1 1 1 1 1 X 1 1 1 0 1 1 1 1 1 1 0 1 1 X^2 1 0 1 1 1 1 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+X X^2+1 1 1 0 X+1 X^2+1 1 X^2+X X^2+1 1 0 X+1 1 1 X X^2+X+1 0 X^2+X X^2+X 1 X^2+1 0 X+1 X^2 1 X^2+X 1 1 0 X^2 X^2+X X X^2 X^2+X X^2+1 X^2+X X^2 X+1 1 0 X X 1 X 0 X^2 X^2 0 X^2+X+1 1 X^2+1 X+1 1 X^2+1 1 1 0 X^2+X 0 0 0 X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 0 X^2 0 0 0 0 X^2 0 0 0 X^2 0 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 0 0 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 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 0 X^2 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 0 generates a code of length 69 over Z2[X]/(X^3) who�s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+30x^62+62x^63+149x^64+204x^65+178x^66+130x^67+173x^68+232x^69+164x^70+130x^71+165x^72+204x^73+128x^74+62x^75+16x^76+2x^78+2x^80+6x^82+3x^84+2x^86+3x^88+2x^102 The gray image is a linear code over GF(2) with n=276, k=11 and d=124. This code was found by Heurico 1.16 in 0.384 seconds.