The generator matrix 1 0 0 1 1 1 X^2+X 1 1 0 X 1 1 X 1 X^2 1 0 X^2 X 1 X^2+X 0 1 1 1 1 1 0 1 X^2 X^2 1 X^2+X 1 X^2+X 1 1 1 X^2+X 1 1 0 1 0 0 1 X+1 1 X^2+X X^2+1 1 X X^2+1 X^2+X 1 X^2+X 1 X^2+X+1 1 X^2 1 X^2+X+1 1 0 X X+1 X^2+X X X+1 1 X^2+X+1 1 X X X^2+X 1 1 0 X^2+X 1 0 X^2 0 0 0 1 1 1 0 1 X^2+1 1 1 1 0 X^2 X X X X+1 X 1 1 0 X+1 1 X^2+X+1 0 X^2+X+1 X+1 X+1 X^2 X^2+X X+1 1 0 1 1 X X+1 0 X^2 1 X^2+X+1 X^2 0 0 0 X 0 0 X^2 X^2 X^2+X X X X^2+X X X^2+X 0 X^2 0 X X X^2 X^2 X X^2 X^2 X^2+X X^2+X X X^2+X X X X 0 X^2 X X 0 X^2+X X X^2+X 0 X X 0 0 0 0 X X^2 X X^2+X X^2 X^2 X^2+X X X X^2+X X^2 0 X X^2+X X^2+X X^2 X X X X^2 X^2 X^2+X 0 X 0 X^2+X X^2+X X X^2+X 0 X X^2+X 0 X^2+X 0 0 X X generates a code of length 42 over Z2[X]/(X^3) who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+352x^36+320x^37+604x^38+548x^39+1041x^40+680x^41+1190x^42+696x^43+981x^44+512x^45+648x^46+260x^47+214x^48+56x^49+46x^50+35x^52+8x^54 The gray image is a linear code over GF(2) with n=168, k=13 and d=72. This code was found by Heurico 1.16 in 65.8 seconds.