The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 X X 1 1 1 0 X 0 0 6 X X+6 X 6 X+6 2X+6 2X+3 0 X+6 3 2X 2X+6 2X X 2X 2X+6 2X 0 3 0 0 X 0 X+6 2X 2X 3 2X X+3 X 2X+3 3 0 2X+6 3 3 X 2X 0 2X 2X X+3 0 0 0 0 X 2X+6 X+3 2X+3 X+6 6 X+6 X 3 2X+6 2X+6 2X+3 X+3 3 0 3 3 X+6 X+3 X+3 0 generates a code of length 24 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+144x^40+120x^41+406x^42+480x^43+576x^44+526x^45+2568x^46+1722x^47+4646x^48+4752x^49+1680x^50+672x^51+582x^52+234x^53+254x^54+204x^55+42x^56+52x^57+18x^58+2x^60+2x^63 The gray image is a code over GF(3) with n=216, k=9 and d=120. This code was found by Heurico 1.16 in 0.573 seconds.