The generator matrix

 1  0  0  0  1  1  1 2X+6  1  6  1  1  1  1 2X+3  1
 0  1  0  0 2X+6  7 2X+1  1  3  1 2X+7 X+1  1  2  1 X+6
 0  0  1  0 2X+7  7 2X+8 X+7 X+6 2X+6 X+5 X+5 X+3 2X+2  8  0
 0  0  0  1 2X+5 X+6 X+8 X+5  4  1  X 2X+7 2X+4  1 2X+8 2X+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+424x^24+330x^25+3636x^26+5372x^27+15330x^28+20484x^29+72648x^30+59382x^31+118854x^32+137326x^33+59916x^34+27468x^35+9396x^36+636x^37+144x^38+90x^39+4x^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 86.7 seconds.