The generator matrix 1 0 1 1 1 1 1 0 1 X 1 1 1 0 1 0 2X 1 1 1 1 0 1 1 2 0 2X+1 2 1 2 1 0 2X+1 X+2 1 X 1 1 0 2 2X 2X+2 0 0 2X 0 0 2X 0 X X 2X 2X X 2X 2X 0 X X 0 0 2X 0 0 0 0 X 0 2X 2X 2X 2X X 0 0 2X 2X 0 0 2X 2X 0 2X 2X 0 0 0 0 X X X 0 2X 0 2X 2X 0 0 2X 2X 2X X X 2X 0 generates a code of length 21 over Z3[X]/(X^2) who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+318x^36+342x^39+756x^42+600x^45+144x^48+26x^54 The gray image is a linear code over GF(3) with n=63, k=7 and d=36. This code was found by Heurico 1.16 in 81.8 seconds.