The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 a a^7*X+a^2 a^3 a^7*X+2 a^7*X+a^6 a^7*X+a^2 1 a^5 a^7 0 a a^7 a^7*X+1 a^7*X+1 0 0 0 a^7*X 0 a^7*X X a^6*X a^6*X X a^6*X 0 a^2*X a*X a*X a^3*X 2*X 2*X 0 0 0 0 X a^7*X a^7*X X a*X a*X a^2*X a^5*X a^2*X a^2*X a^6*X a^6*X X a^3*X X generates a code of length 18 over F9[X]/(X^2) who´s minimum homogenous weight is 117. Homogenous weight enumerator: w(x)=1x^0+152x^117+144x^120+968x^126+2592x^128+3456x^129+1208x^135+23328x^136+41472x^137+27648x^138+1288x^144+186624x^145+165888x^146+73728x^147+2272x^153+672x^162 The gray image is a linear code over GF(9) with n=162, k=6 and d=117. This code was found by Heurico 1.16 in 7.84 seconds.