The generator matrix

 1  0  1  1  1  1  1  6  1  1  1  1 2X  1  0  1
 0  1  1  8  0 2X+1  5  1 2X+6 2X+5 X+1 X+5  1 2X+4  1  0
 0  0 2X  0  3  X X+6 X+3 X+3 2X+6  6  3  0 X+6  X  0
 0  0  0  X 2X+6  6 2X+3 2X 2X+6  X 2X+3 2X 2X+3 2X X+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+52x^24+114x^25+372x^26+696x^27+1674x^28+1614x^29+7594x^30+7290x^31+14688x^32+14618x^33+6690x^34+2202x^35+1058x^36+252x^37+78x^38+38x^39+18x^40

The gray image is a code over GF(3) with n=144, k=10 and d=72.
This code was found by Heurico 1.16 in 1.51 seconds.