The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 a^7*X+1 a a^2 a^7*X+2 a^7*X+a^7 X a^7*X+a a^6 a^6*X+1 a^7*X+a^2 a^7*X+a^3 a^7 X+a^2 a^3 a*X 0 0 1 a^7*X+a^7 a a^6 a^7*X+a^5 a^7*X+2 a^7*X+a^3 a^7*X+a^2 X+a^6 a^3 a^6*X+a^7 a^6*X+a^2 X+a a^5*X+2 a*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+72x^126+2520x^128+5688x^129+3384x^130+216x^135+5832x^136+29952x^137+41112x^138+16560x^139+111024x^144+46656x^145+124992x^146+110664x^147+32544x^148+72x^153+152x^162 The gray image is a linear code over GF(9) with n=162, k=6 and d=126. This code was found by Heurico 1.16 in 6.4 seconds.