The generator matrix 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 1 1 0 X 1 1 0 1 1 2 0 1 2 1 0 2X+1 2 1 2X+1 0 2 1 X 2X+1 X+2 0 2X+1 1 1 0 0 0 0 2X 0 0 0 0 0 0 0 0 0 0 X X 2X X 2X X 2X 2X X X 2X 0 0 0 0 X 0 0 0 0 X 2X X 2X X 2X 2X 0 0 2X 0 2X 0 2X X 2X X 0 0 0 0 X 0 0 X 2X 2X X X 0 2X 2X 2X 2X 2X 2X 2X 2X X X 0 2X 0 0 0 0 0 2X 0 2X X 0 X X 2X 2X X 2X 0 0 X X X X 2X X 0 0 0 0 0 0 0 X 2X 0 2X 2X X X 2X 2X X 2X 0 X X 2X X 0 2X 0 generates a code of length 25 over Z3[X]/(X^2) who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+84x^36+12x^37+6x^38+128x^39+66x^40+162x^41+202x^42+522x^43+720x^44+310x^45+1542x^46+1860x^47+292x^48+2424x^49+2970x^50+334x^51+2772x^52+2250x^53+318x^54+1254x^55+780x^56+256x^57+156x^58+166x^60+70x^63+26x^66 The gray image is a linear code over GF(3) with n=75, k=9 and d=36. This code was found by Heurico 1.16 in 1.58 seconds.