The generator matrix 1 0 0 1 1 1 0 1 1 X^2+X 1 X^2+X 1 1 1 X^2 X^2 X^2+X X 1 1 X^2+X X 1 X X 1 X 1 0 1 1 1 0 1 X^2+X 1 0 0 X^2+X 1 X X^2+X 1 1 1 1 1 0 1 0 0 1 1 1 X^2 X 1 X+1 1 X 1 X^2+1 X^2+X 1 0 1 X+1 X^2 1 X^2+X X^2+X X 1 0 1 X^2+X+1 1 1 0 X+1 1 X 1 0 X^2+X 1 1 X^2+X+1 1 1 X^2+1 1 X^2+X X^2 X 0 0 1 X+1 X^2+X+1 0 X+1 X 1 1 0 X^2 X^2+X X^2+X X^2+1 1 1 1 X X^2+X+1 X^2+1 X+1 1 X^2+1 1 X^2+X+1 0 X^2 X^2+1 X^2 0 1 X^2 X^2+1 X X^2 X 1 X X^2 1 X X X^2+X+1 X+1 X+1 X 1 0 0 0 X^2 0 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 0 0 0 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 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+85x^42+224x^43+346x^44+420x^45+490x^46+436x^47+351x^48+368x^49+352x^50+360x^51+270x^52+164x^53+82x^54+68x^55+48x^56+8x^57+11x^58+8x^60+4x^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 0.516 seconds.