The generator matrix 1 1 1 1 1 1 1 1 0 X 0 X a*X a*X a^2*X a^5*X 0 0 X a^7*X a*X a^2*X a^6*X a^7*X generates a code of length 8 over F9[X]/(X^2) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+224x^54+192x^63+5832x^64+312x^72 The gray image is a linear code over GF(9) with n=72, k=4 and d=54. This code was found by Heurico 1.16 in 0.000944 seconds.