The generator matrix

 1  0  0  0  1  1  1 2X+3  1  3  1  1  1 2X+3  1  1
 0  1  0  0 2X+3  4 2X+1  1  6  1 2X+4 X+7 X+3  1  X  0
 0  0  1  0 2X+4  4 2X+8 X+4 X+3 2X+3 X+2 X+5 X+6  6  1 2X
 0  0  0  1 2X+2 X+3 X+8 X+2  7  1  X 2X+1 X+5 2X+8 2X+6 2X

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

Homogenous weight enumerator: w(x)=1x^0+396x^24+300x^25+3816x^26+5244x^27+15456x^28+20346x^29+72752x^30+58836x^31+119052x^32+138222x^33+59154x^34+27738x^35+9080x^36+852x^37+120x^38+46x^39+24x^40+6x^42

The gray image is a code over GF(3) with n=144, k=12 and d=72.
This code was found by Heurico 1.16 in 66.8 seconds.