The generator matrix 1 0 0 1 1 1 X^2+X 1 1 1 X 1 X X^2+X 1 X^2+X 1 1 X^2 1 X^2+X 0 X 1 X 1 1 1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 1 X^2+X 1 0 1 0 1 0 1 0 1 1 X 1 X 1 1 X^2+X 1 X^2+1 1 X^2+X X^2+X+1 0 X 1 1 0 X+1 1 X^2+1 X 0 X 1 1 X X^2+X X 0 0 X^2+X 1 1 X+1 X^2 X^2+X+1 X+1 1 1 X X^2+1 0 0 1 1 1 0 1 X+1 1 X X^2+X X^2 1 X^2+1 0 1 X^2+X X^2+X+1 1 X+1 X^2+X X+1 1 X^2+X+1 X^2+X X^2 X^2 X 1 0 X+1 1 1 X X 1 0 0 X^2+X+1 0 1 X^2 X 1 X^2+X+1 1 1 0 0 0 X 0 0 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X X^2+X X^2+X X X^2+X X^2+X X X X^2+X X X^2+X X X X^2+X X^2 X^2 X^2+X X^2+X X^2+X 0 X^2+X X X X^2+X 0 0 0 0 X 0 0 0 X^2 X X X X X^2+X X^2 X^2 0 X^2+X X^2+X X^2+X X X^2+X 0 X^2 0 X X^2 X^2+X X^2+X X^2+X X^2+X X^2 0 0 X^2+X X X^2+X X 0 X X X^2 X^2+X 0 0 X^2 X 0 0 0 0 0 X X^2+X X^2+X 0 X X^2+X X^2 X^2+X 0 X^2 X^2 X 0 X^2 X^2+X X^2 X^2+X X X X X X^2 X^2+X X X X^2 X^2 X X X^2 0 0 X^2+X X^2 0 0 X^2 X^2 X^2+X X X^2 X^2 generates a code of length 47 over Z2[X]/(X^3) who´s minimum homogenous weight is 38. Homogenous weight enumerator: w(x)=1x^0+78x^38+332x^39+538x^40+862x^41+1339x^42+2012x^43+2602x^44+2974x^45+3550x^46+3864x^47+3777x^48+3334x^49+2656x^50+1930x^51+1252x^52+730x^53+420x^54+234x^55+140x^56+92x^57+21x^58+10x^59+10x^60+8x^61+2x^63 The gray image is a linear code over GF(2) with n=188, k=15 and d=76. This code was found by Heurico 1.16 in 29.3 seconds.