The generator matrix 1 1 1 1 1 1 1 1 1 1 0 X 0 0 0 X X X a*X a^3*X 0 0 X 0 0 a^7*X a^6*X a*X 2*X a^7*X 0 0 0 X 0 a^7*X X a^2*X a^2*X a^6*X 0 0 0 0 X a^6*X 2*X a^3*X X X generates a code of length 10 over F9[X]/(X^2) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+1680x^54+2880x^63+14040x^72+472392x^80+22160x^81+18288x^90 The gray image is a linear code over GF(9) with n=90, k=6 and d=54. This code was found by Heurico 1.16 in 4.63 seconds.