The generator matrix

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

generates a code of length 16 over F9[X]/(X^2) who´s minimum homogenous weight is 104.

Homogenous weight enumerator: w(x)=1x^0+144x^104+800x^108+1296x^112+3456x^113+1280x^117+34992x^120+20736x^121+27648x^122+960x^126+279936x^129+82944x^130+73728x^131+2688x^135+832x^144

The gray image is a linear code over GF(9) with n=144, k=6 and d=104.
This code was found by Heurico 1.16 in 28.5 seconds.