The generator matrix

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

generates a code of length 20 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+108x^34+96x^35+250x^36+144x^37+156x^38+202x^39+4806x^40+90x^41+76x^42+216x^43+102x^44+178x^45+72x^46+42x^47+20x^48+2x^60

The gray image is a code over GF(3) with n=180, k=8 and d=102.
This code was found by Heurico 1.16 in 1.91 seconds.