The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 X^2+X 1 1 1 0 1 X^2+X 1 1 1 0 1 X^2+X 1 1 1 1 1 X 1 X^2 1 1 0 1 1 X^2+X 1 1 1 1 1 1 1 1 X^2 1 1 1 1 1 1 X^2+X 1 1 1 1 1 1 1 1 1 1 1 X^2+X X 1 X 0 1 1 X X^2 1 X 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+X 1 X^2+1 X+1 0 1 X^2+X 1 X^2+1 X^2+1 0 1 X^2+X 1 X+1 X+1 X^2+1 X^2+1 X^2 1 X 1 X+1 0 1 X^2+1 X^2+X 1 X^2+X+1 X^2+X X^2+X+1 X 1 X^2 X+1 1 1 X^2+1 1 0 X^2+X+1 X^2+X+1 X^2+1 1 X^2+X+1 X^2+X+1 X^2+X+1 X^2+X+1 X^2+1 X^2+X+1 X^2+X+1 0 X^2 X^2+X X^2 1 1 X^2+X 0 1 X^2+X+1 X^2+1 1 X 0 X^2+X 0 0 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 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 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 0 X^2 X^2 0 X^2 0 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 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 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 generates a code of length 75 over Z2[X]/(X^3) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+82x^68+318x^70+314x^72+368x^74+249x^76+368x^78+213x^80+94x^82+31x^84+1x^86+2x^90+4x^92+1x^100+1x^102+1x^108 The gray image is a linear code over GF(2) with n=300, k=11 and d=136. This code was found by Heurico 1.16 in 0.465 seconds.