The generator matrix 1 0 0 0 1 1 1 X X^2+X 1 1 0 X^2 1 1 1 1 1 X X^2+X 1 1 1 X^2+X X^2 X^2 0 X 0 1 X^2+X 1 0 1 X^2+X 1 X 1 X^2 X 1 X^2+X 0 1 X^2 0 1 1 0 1 0 0 X^2 1 X^2+1 1 1 X X+1 1 X X X+1 X^2+X 1 0 X^2 1 X^2+1 X+1 1 0 1 1 X^2+X 1 1 X^2+X X^2+X X^2+X+1 1 X^2 1 X+1 1 X^2+X+1 X^2 X^2+X X^2+X 1 1 0 1 X^2+X X^2+1 0 0 0 1 0 X^2+1 1 X^2 X^2+X+1 1 0 X^2+X+1 X 1 X+1 0 X+1 X X^2+X X^2 X X^2+X+1 X^2 X^2+X+1 1 X X+1 1 1 0 X^2 X^2+X 1 X^2+1 X^2+1 X^2+X+1 X^2+X+1 0 X 1 1 X 0 X^2+X 0 X^2+X X^2+X X^2 0 0 0 0 1 1 X^2 X^2+X+1 X^2+X+1 X 1 X+1 X^2+X+1 X^2+X+1 X X^2+X 0 X^2+X X+1 1 X+1 X^2 X^2+X+1 1 X^2+X+1 1 X^2+X+1 X^2 X+1 X^2+X X 1 X 1 X+1 X^2 X^2+1 X^2+1 X+1 1 X^2+X+1 X X^2+X+1 X^2+X+1 X X^2+X 1 X^2+X 0 generates a code of length 48 over Z2[X]/(X^3) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+50x^42+284x^43+351x^44+472x^45+425x^46+412x^47+381x^48+360x^49+366x^50+338x^51+175x^52+198x^53+106x^54+68x^55+60x^56+40x^57+4x^58+2x^59+2x^61+1x^62 The gray image is a linear code over GF(2) with n=192, k=12 and d=84. This code was found by Heurico 1.16 in 0.44 seconds.