The generator matrix

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

generates a code of length 16 over F9[X]/(X^2) who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+2160x^112+6480x^113+240x^117+6480x^120+34560x^121+45360x^122+240x^126+122472x^128+51840x^129+138240x^130+123120x^131+80x^135+168x^144

The gray image is a linear code over GF(9) with n=144, k=6 and d=112.
This code was found by Heurico 1.16 in 4.57 seconds.