The generator matrix 1 0 0 0 1 1 1 1 X^2 1 0 0 1 1 0 X^2 1 X^2+X X X 1 1 0 X^2+X 1 1 1 1 X^2 1 X 1 1 1 X 1 X^2 0 X^2+X 1 1 X X^2+X X X^2+X 1 X^2+X 1 0 1 0 0 0 1 X^2+1 X 1 1 1 X^2+X X^2 X^2+X+1 1 1 X^2 X^2 0 1 X^2+X+1 1 X 1 X X X^2 X^2 1 X^2+1 1 1 X^2+1 X^2+X+1 X X^2+X+1 X^2+X 1 0 X+1 X 1 X^2 1 1 X^2+1 1 1 0 0 1 0 0 X^2 1 X^2+1 X^2+X+1 X+1 X^2+X 1 X^2+X+1 0 1 X 0 X^2+X 1 X+1 X^2+1 X^2 1 X X^2+X X^2+X+1 X^2+X X^2+1 X^2+1 X^2+X 0 X^2+1 X+1 1 X^2+X X X^2+X X+1 1 X+1 0 X^2 1 X^2+X+1 1 0 X^2+X+1 X^2+1 0 0 0 1 1 0 X^2+1 X^2+X 1 X^2+X X+1 1 X^2+1 X^2+X+1 X^2 X^2+X X^2+X+1 1 X^2+1 0 X^2 X 0 X^2+X+1 X+1 X+1 0 X X+1 X^2+X X+1 X^2 X+1 X 1 X^2 1 1 X^2+1 X^2+X 0 0 X^2 X X^2+X 1 X+1 X^2+X+1 0 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 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+476x^42+1280x^44+1646x^46+1636x^48+1528x^50+941x^52+524x^54+139x^56+14x^58+3x^60+2x^62+2x^66 The gray image is a linear code over GF(2) with n=192, k=13 and d=84. This code was found by Heurico 1.11 in 10.3 seconds.