The generator matrix

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

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+306x^24+216x^25+2232x^26+1604x^27+5958x^28+7992x^29+19038x^30+17928x^31+48978x^32+36720x^33+20736x^34+12024x^35+2670x^36+360x^37+216x^38+168x^39

The gray image is a code over GF(3) with n=144, k=11 and d=72.
This code was found by Heurico 1.16 in 10.6 seconds.