The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 a a^7*X+a^2 a^7*X+2 a^7 a^3 a^5 a^7*X+a^6 a^7*X+1 0 a a^3 X X+a a^7*X+1 X 0 0 a^7*X a*X a^6*X a^5*X 2*X X 0 a^6*X a^3*X a*X a^2*X a^7*X a^5*X X 2*X a^7*X generates a code of length 18 over F9[X]/(X^2) who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+48x^126+72x^128+432x^129+432x^130+264x^135+3888x^136+1152x^137+3024x^138+1728x^139+144x^144+31104x^145+4608x^146+8208x^147+3672x^148+168x^153+104x^162 The gray image is a linear code over GF(9) with n=162, k=5 and d=126. This code was found by Heurico 1.16 in 0.107 seconds.