The generator matrix 1 0 0 0 1 1 1 1 X^2 1 X^2+X X 1 X^2 1 1 1 X 1 1 1 X^2 0 X X 0 1 1 1 0 1 1 1 1 1 1 0 1 0 1 1 X X 1 1 1 X^2 X^2 0 0 1 0 0 0 X^2 1 X^2+1 1 X^2+X+1 X^2 1 0 1 X^2+1 X^2 1 1 X^2+1 X^2+1 X^2+X X^2+X 1 1 X X 0 X^2+X+1 X^2+X+1 1 1 X^2+X 0 X^2 X^2 X X^2 X^2+1 X^2+X 0 X+1 1 1 X^2+1 1 X X^2 X^2+X 1 0 0 1 0 0 X^2+1 1 X^2+X X+1 X^2+1 1 X^2 X^2+X+1 X^2+1 X X X^2+X+1 X^2+X+1 0 X^2+X+1 X+1 1 X^2+1 X 1 1 1 X^2+1 X^2+X X^2+X X^2+1 X^2+X 1 X^2+X X^2 X^2 0 X^2+1 1 X+1 X^2+X+1 X^2+X+1 1 X^2+X 0 0 1 1 X^2 0 0 0 1 1 1 X^2 X+1 X+1 X^2+1 X^2+1 X^2+1 X X 0 X^2+1 X+1 X+1 X^2+X X^2 0 X^2+1 0 X+1 X 1 X+1 X X^2+X+1 X^2 X+1 X^2+1 X+1 X X^2+X+1 X^2+1 1 1 X+1 X^2+X+1 X^2 X^2 1 1 X^2 X 1 X^2 X 0 0 0 0 X 0 0 0 0 X X X X^2+X X X X^2+X X X^2 X^2+X X^2 X^2+X X X^2+X X^2+X X^2+X X^2 X^2+X X^2+X X X^2+X X^2 0 0 X X^2 X^2+X X^2+X X^2 0 0 X^2 X X^2+X 0 X X^2 X 0 X generates a code of length 49 over Z2[X]/(X^3) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+416x^42+376x^43+1226x^44+460x^45+2024x^46+864x^47+2547x^48+740x^49+2402x^50+854x^51+2063x^52+484x^53+1176x^54+230x^55+356x^56+44x^57+60x^58+42x^59+14x^60+2x^63+2x^66+1x^68 The gray image is a linear code over GF(2) with n=196, k=14 and d=84. This code was found by Heurico 1.13 in 508 seconds.