The generator matrix

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

generates a code of length 21 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+52x^36+48x^38+126x^39+216x^40+36x^41+1052x^42+432x^43+54x^44+64x^45+24x^47+72x^48+8x^51+2x^60

The gray image is a code over GF(3) with n=189, k=7 and d=108.
This code was found by Heurico 1.16 in 0.00995 seconds.