The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 X 1 1 X 1 1 0 1 1 X 1 X^2+X 1 0 1 1 1 0 1 1 1 1 1 X X 1 1 1 X 1 X^2+X 1 1 1 1 1 1 1 0 1 1 0 X^2+X+1 1 X+1 X^2+X 1 X^2 1 X^2+1 X 1 X+1 0 1 X+1 X^2+1 1 1 1 X^2+X 1 X^2+X 0 X+1 1 X^2 X^2+X 1 X^2+1 X 1 1 1 X^2+X X^2+X 1 X+1 1 X^2+1 X X^2+1 X X^2 0 X+1 0 0 X 0 X^2+X 0 X^2 X^2 X X^2+X X^2+X X^2 X X^2+X X X X X^2 X X^2 X^2 X^2+X 0 0 X 0 X 0 0 X^2+X 0 X^2+X X^2 X X^2+X X^2 X^2+X X^2+X X 0 0 X^2 X^2+X X 0 X^2 0 X^2+X 0 0 0 X 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2+X X^2+X X^2+X X^2+X X X^2+X X^2+X X^2+X X^2+X X X 0 X 0 X X^2 X^2 X X^2 X^2 0 X^2+X X^2+X X X^2+X X^2 X X^2+X X X^2+X 0 0 X^2+X 0 0 0 0 0 X^2 0 0 0 X^2 X^2 0 0 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 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+173x^42+172x^43+305x^44+380x^45+391x^46+472x^47+417x^48+472x^49+343x^50+380x^51+230x^52+172x^53+91x^54+49x^56+24x^58+20x^60+2x^62+1x^64+1x^68 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 45.3 seconds.