The generator matrix

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

generates a code of length 16 over F9[X]/(X^2) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+208x^90+1576x^99+3992x^108+8912x^117+17792x^126+472392x^128+17544x^135+9024x^144

The gray image is a linear code over GF(9) with n=144, k=6 and d=90.
This code was found by Heurico 1.16 in 15 seconds.