The generator matrix 1 0 0 0 1 1 1 2X 1 1 1 1 1 X 1 1 X 1 1 0 1 1 1 1 1 0 1 0 0 2X 1 2X+1 1 0 2X 1 2 X+1 1 2X+2 2X+2 1 2X+1 X+1 1 2X+1 X 2X+2 2 2X 0 0 1 0 2X+1 1 2X+2 X+1 X 2 X+1 2X 2X+2 0 2X 2 X+2 1 0 2X+1 X X+1 X+1 X 0 0 0 0 1 2X+2 X X+2 X+2 1 2 2X+2 0 X 2X+2 X+2 X+1 X+2 X+1 2X+2 2X+1 2X+1 1 2 2X 2X+1 generates a code of length 25 over Z3[X]/(X^2) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+192x^42+144x^43+222x^44+608x^45+300x^46+348x^47+788x^48+294x^49+342x^50+1002x^51+408x^52+336x^53+766x^54+276x^55+174x^56+254x^57+30x^58+36x^59+30x^60+6x^61+2x^63+2x^66 The gray image is a linear code over GF(3) with n=75, k=8 and d=42. This code was found by Heurico 1.16 in 0.214 seconds.