The generator matrix 1 0 1 1 1 X^2+X 1 0 1 1 1 X^2 1 X^2+X 1 1 X 1 1 X^2+X 0 1 1 1 1 1 1 1 0 X^2 0 0 1 1 X 1 1 1 X 1 1 X X^2 X 1 1 1 X^2 1 0 1 1 0 X^2+X+1 1 X 1 X^2+X+1 X 1 1 X^2+X 1 X^2+1 0 1 X^2+X+1 1 1 1 X^2 X X+1 0 X^2+X 0 X^2+X 1 1 1 1 X+1 X^2+X+1 1 X+1 0 1 1 0 X^2 X 0 X^2+X 1 X^2+X X^2+X+1 X 0 0 0 X 0 X^2+X 0 0 X X^2 X X^2 X^2+X X X^2 X X^2+X X^2+X X^2 0 X^2+X 0 X X^2 X 0 X^2+X X^2+X X^2 X X X^2+X X^2+X X^2 X^2+X X^2+X X^2+X X X^2+X 0 X^2+X X^2+X X^2 X^2 X 0 0 X^2 0 0 0 0 0 X 0 0 X^2+X X X^2+X 0 X^2+X X^2 X^2+X X X X 0 X^2 X^2 X^2+X X 0 0 X 0 X^2 X^2+X X^2+X X^2+X X^2 X 0 0 X X^2 X^2+X X^2+X X^2 0 X^2 X^2 X^2+X X X X 0 X^2 X^2+X 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 0 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 generates a code of length 49 over Z2[X]/(X^3) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+56x^42+158x^43+171x^44+340x^45+271x^46+566x^47+303x^48+482x^49+295x^50+550x^51+224x^52+298x^53+117x^54+126x^55+48x^56+22x^57+21x^58+4x^59+21x^60+10x^61+8x^62+4x^63 The gray image is a linear code over GF(2) with n=196, k=12 and d=84. This code was found by Heurico 1.16 in 0.628 seconds.