The generator matrix 1 0 0 0 1 1 1 2X 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 0 0 1 2X+1 1 0 X 2X+2 X+2 2X+1 1 1 1 X 1 0 X+2 0 0 0 1 0 1 1 2X+2 2X+1 1 2X+2 2X+1 2X 2X 0 2X+2 0 X+2 X+1 2X 2X+1 0 0 0 0 1 2 0 2X+2 2X+2 1 2X 2X 2X+1 2X+2 X+1 X 0 2X+2 1 X+2 2X+1 0 0 0 0 0 2X 0 2X X 0 2X X 2X X 0 0 2X 0 X X 2X X 0 0 0 0 0 X 2X 0 2X X 0 0 X 2X 2X 2X 2X 0 0 2X 0 generates a code of length 21 over Z3[X]/(X^2) who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+70x^30+42x^31+360x^32+594x^33+564x^34+1596x^35+1744x^36+1554x^37+4368x^38+3894x^39+3504x^40+7644x^41+6314x^42+4026x^43+7746x^44+5014x^45+2766x^46+3948x^47+1752x^48+666x^49+582x^50+272x^51+18x^54+8x^57+2x^60 The gray image is a linear code over GF(3) with n=63, k=10 and d=30. This code was found by Heurico 1.16 in 8.83 seconds.