The generator matrix

 1  0  1  1  1  1  1  1  1  1
 0  1 a^7*X+1  a a^7*X+a^2 a^3 a^7*X+2 a^5 a^7*X+a^6  X

generates a code of length 10 over F9[X]/(X^2) who�s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+584x^72+144x^73+648x^80+4672x^81+504x^82+8x^90

The gray image is a linear code over GF(9) with n=90, k=4 and d=72.
This code was found by Heurico 1.16 in 0.000855 seconds.