The generator matrix 1 0 0 1 1 1 X^2+X X X^2 1 1 1 X 1 1 1 1 1 0 X^2+X 1 1 X 1 X^2+X 1 X X^2 1 1 1 1 1 1 X 1 X^2 X^2 1 1 1 0 0 0 1 0 0 1 X+1 1 0 1 X+1 X^2 1 1 X^2 X X X+1 X^2+X+1 1 1 X 1 1 X^2+X+1 X X^2+X 0 1 X^2 X X^2+X+1 X X+1 1 1 X X 1 X 1 0 1 1 0 0 1 1 1 X^2 1 1 1 X^2+X+1 X+1 0 0 X^2+X X^2+X X+1 X^2+X X+1 X^2+X X^2 0 X^2+1 X^2+X+1 X^2+X 1 1 1 X^2+X X^2+X+1 X^2 X^2+X+1 1 X+1 X X^2+1 X+1 1 X X^2+X+1 X^2+X+1 X+1 0 X^2+X+1 0 0 0 X X^2+X 0 X X X^2 X^2 0 X X^2+X X X^2 X X X X 0 X^2+X X^2 X 0 0 X X^2 X^2 0 X^2 X^2+X X X^2 X^2+X X^2+X X^2+X X^2+X 0 0 0 X^2+X X X^2 0 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 0 generates a code of length 43 over Z2[X]/(X^3) who´s minimum homogenous weight is 38. Homogenous weight enumerator: w(x)=1x^0+414x^38+785x^40+989x^42+809x^44+619x^46+336x^48+109x^50+19x^52+11x^54+2x^56+2x^58 The gray image is a linear code over GF(2) with n=172, k=12 and d=76. This code was found by Heurico 1.16 in 75.3 seconds.