The generator matrix 1 0 1 1 1 1 1 X+6 1 2X 1 1 0 1 1 1 1 1 X+6 2X 1 1 1 1 1 1 1 0 1 2X+7 8 X+6 X+1 X+5 1 7 1 2X 2X+8 1 0 2X+7 X+1 X+5 8 1 1 2X+8 7 X+5 2X+7 0 8 0 0 0 6 0 0 0 6 6 3 6 0 3 3 0 3 0 0 6 6 6 0 3 6 0 3 6 0 0 0 0 3 0 0 6 6 0 3 3 6 3 6 0 6 0 3 6 0 6 6 6 3 0 6 0 0 0 0 0 6 0 3 6 6 6 3 0 6 3 3 0 3 0 3 3 0 3 0 6 3 6 0 0 0 0 0 0 3 0 6 6 3 6 3 6 3 0 3 3 3 0 3 0 0 3 3 6 6 0 generates a code of length 27 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+42x^42+24x^44+166x^45+252x^46+102x^47+908x^48+792x^49+3180x^50+3568x^51+4302x^52+12078x^53+6766x^54+7524x^55+11994x^56+4796x^57+1638x^58+276x^59+382x^60+72x^61+48x^62+74x^63+38x^66+22x^69+4x^72 The gray image is a code over GF(3) with n=243, k=10 and d=126. This code was found by Heurico 1.16 in 3.21 seconds.