The generator matrix

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

generates a code of length 38 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+288x^70+504x^71+1842x^72+1458x^73+2118x^74+3160x^75+1626x^76+2040x^77+2856x^78+1296x^79+1158x^80+956x^81+330x^82+12x^83+14x^84+18x^85+6x^88

The gray image is a code over GF(3) with n=342, k=9 and d=210.
This code was found by Heurico 1.16 in 0.368 seconds.