The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 1 1 X 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 X X X X 2X 2X X X 0 0 X X 0 0 0 X 0 0 0 0 0 0 0 X X 2X X X 2X 0 2X 2X 0 2X 0 2X 0 0 0 0 0 X 0 0 0 0 0 0 2X X 2X 0 2X X 2X 2X 2X 2X X 2X X X 0 0 0 0 0 X 0 0 0 0 X 2X 0 2X 0 X 2X 2X X X 2X 2X 2X X 2X 0 0 0 0 0 0 X 0 0 0 2X 2X 0 X X 0 2X 2X 0 2X 0 0 X 2X 0 X 0 0 0 0 0 0 X 0 0 2X 2X X X 2X 2X 0 2X 2X X 2X 2X X 0 2X 2X 0 0 0 0 0 0 0 X 0 2X 2X 2X 0 2X 0 2X X 2X X 2X X 2X X 2X 2X 0 0 0 0 0 0 0 0 X 2X 0 X 2X X 2X 2X 2X X X X X X X 0 2X generates a code of length 25 over Z3[X]/(X^2) who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+52x^30+310x^33+538x^36+992x^39+1602x^42+1458x^44+2374x^45+8748x^47+3168x^48+17496x^50+3336x^51+11664x^53+3062x^54+2036x^57+1322x^60+578x^63+232x^66+72x^69+8x^72 The gray image is a linear code over GF(3) with n=75, k=10 and d=30. This code was found by Heurico 1.16 in 16.2 seconds.