The generator matrix 1 0 0 0 0 1 1 1 1 0 1 1 1 1 2X X 0 1 1 1 1 0 1 0 0 0 0 2X 1 2X+1 1 2X+1 X 1 2 1 1 1 X+1 2X+2 0 X+1 0 0 1 0 0 0 2X+1 2 X+1 2X 2 X+1 X 2 2 2X+2 2X X+2 0 1 X+1 0 0 0 1 0 1 2X+2 2 2X+1 2X+1 2X 2X+1 2X X 2X+2 X X+1 0 X+1 X+1 X 0 0 0 0 1 2 2X+2 X+1 2X X+1 X+1 1 1 1 2X+2 1 X+2 2X+2 X+1 2X 1 0 0 0 0 0 2X X X 2X 2X 0 0 2X 2X 0 X X X X X X 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+390x^30+438x^31+600x^32+2312x^33+1728x^34+2274x^35+8120x^36+4944x^37+6144x^38+20774x^39+9684x^40+11964x^41+32132x^42+11946x^43+12144x^44+25028x^45+8124x^46+5250x^47+8528x^48+2244x^49+990x^50+1088x^51+258x^52+34x^54+8x^57 The gray image is a linear code over GF(3) with n=63, k=11 and d=30. This code was found by Heurico 1.16 in 94.5 seconds.