The generator matrix 1 0 1 1 1 X^2 1 1 0 1 1 0 0 1 1 1 1 0 X^2 1 1 1 1 0 X^2 X X X^2+X X^2 X^2+X X^2+X X X X^2+X X 1 1 1 1 1 0 X^2 1 1 X^2+X 0 X^2+X 0 1 0 1 1 0 X+1 1 X^2+X+1 0 1 X^2 1 1 1 X+1 X^2+X X+1 X 1 1 X^2+X X^2+1 X^2+X 1 1 1 1 1 1 X 1 1 1 1 1 1 0 X^2+X X+1 0 1 X^2 X X^2 X^2+1 1 1 1 1 X^2+1 0 0 X 0 0 0 0 X^2+X X^2+X X^2+X X X^2+X X^2 X^2+X X X^2+X X X^2 X^2+X X^2 X^2 X^2 X^2 X X^2+X 0 0 X X X^2+X 0 X^2 X^2 0 X^2 0 0 X X^2 X X X^2+X X^2 X^2+X X X^2 X^2 X 0 0 0 0 X X^2 X^2+X X^2+X X^2+X X^2+X X^2 X 0 0 X X^2+X 0 X^2 X X^2 X X^2+X 0 X^2 X^2 X X X^2+X X 0 X 0 X^2 X X^2 0 X^2+X X^2 X 0 X^2 0 X^2+X X X^2+X 0 X^2+X X^2 X 0 generates a code of length 49 over Z2[X]/(X^3) who´s minimum homogenous weight is 45. Homogenous weight enumerator: w(x)=1x^0+144x^45+114x^46+134x^47+117x^48+112x^49+62x^50+134x^51+50x^52+76x^53+19x^54+30x^55+12x^56+4x^57+4x^58+6x^59+1x^62+2x^64+2x^68 The gray image is a linear code over GF(2) with n=196, k=10 and d=90. This code was found by Heurico 1.16 in 2.38 seconds.