The generator matrix

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

generates a code of length 21 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+102x^38+96x^39+240x^40+114x^41+1040x^42+390x^43+30x^44+56x^45+12x^46+54x^47+18x^48+6x^49+24x^50+2x^51+2x^60

The gray image is a code over GF(3) with n=189, k=7 and d=114.
This code was found by Heurico 1.16 in 0.0238 seconds.