The generator matrix

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

generates a code of length 16 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+72x^25+390x^26+378x^27+222x^28+408x^29+570x^30+468x^31+14202x^32+736x^33+540x^34+888x^35+404x^36+156x^37+150x^38+94x^39+2x^42+2x^48

The gray image is a code over GF(3) with n=144, k=9 and d=75.
This code was found by Heurico 1.16 in 85.6 seconds.