The generator matrix

 1  1  1  1  1  1  1  1  1  X  X  0  1  1  X  1
 0  X  0 X+6  0 2X  X 2X+6 2X  6  0  6  6 X+3  X  0
 0  0  X 2X+3 2X  0  X X+6 2X X+6 2X  X X+6 2X X+3 X+6
 0  0  0  3  0  0  6  3  6  6  6  0  3  3  6  0
 0  0  0  0  3  6  3  3  3  6  6  6  0  6  6  3

generates a code of length 16 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+88x^24+102x^25+102x^26+466x^27+720x^28+294x^29+3860x^30+2400x^31+612x^32+7170x^33+2364x^34+402x^35+694x^36+234x^37+48x^38+100x^39+12x^40+14x^42

The gray image is a code over GF(3) with n=144, k=9 and d=72.
This code was found by Heurico 1.16 in 0.31 seconds.