The generator matrix

 1  0  0  0  1  1  1  1  1  1 X+6  1  1 2X  X  3  6  1 X+6  1  1  1  6  1  1  1  1  1  1  1 2X+3  1  X  1  X  1 2X+6  1
 0  1  0  0  6 2X+6  3 X+6 2X+7  7  1 X+4 2X+4  1  1  1  1  4  1  8 2X+7 X+2  1 X+5 X+4 2X+5 2X+5 X+3  1 X+5  1 2X+2  1  5  1 X+5  1  X
 0  0  1  0 2X+7  6  7  5 2X+6 2X+8  2 2X+4 X+4  4 2X+4 X+5 X+3 X+8  3 X+5 X+2 2X+3 2X+8 X+5 2X+3 X+1 X+6  7  X 2X+1 X+4  6 X+4 X+7 X+5  4  6  0
 0  0  0  1 2X+5 2X+7 X+6 2X+2  5  2 2X+6 2X  7 X+4 X+2 2X+5  2 X+1  1  4  0 X+5 X+7 2X+3  X 2X+5  3 2X+7 2X+1 2X+1  6 2X+1  X X+4 2X+2  6  2 X+6

generates a code of length 38 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+360x^66+1134x^67+3108x^68+6464x^69+11676x^70+14850x^71+26448x^72+38526x^73+46656x^74+63486x^75+76938x^76+71544x^77+66806x^78+51564x^79+26508x^80+15890x^81+6690x^82+2016x^83+540x^84+48x^85+66x^86+44x^87+48x^88+6x^89+24x^90

The gray image is a code over GF(3) with n=342, k=12 and d=198.
This code was found by Heurico 1.16 in 284 seconds.