The generator matrix

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

generates a code of length 20 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+528x^36+252x^37+648x^38+1182x^39+954x^40+1296x^41+1332x^42+252x^43+90x^45+24x^48+2x^54

The gray image is a code over GF(3) with n=180, k=8 and d=108.
This code was found by Heurico 1.16 in 0.0611 seconds.