The generator matrix 1 0 1 1 1 1 0 1 a^7*X+1 a a^7*X+a^2 a^3 generates a code of length 6 over F9[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+432x^40+48x^45+2592x^48+3456x^49+32x^54 The gray image is a linear code over GF(9) with n=54, k=4 and d=40. This code was found by Heurico 1.16 in 0.000332 seconds.