The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  1  1  1  X  X  1  1  X  1  X  6  6  0  1
 0  6  3  0  6  3  0  6  3  0  6  3  0  6  3  0  6  3  6  0  3  6  3  0  6  3  6  3  0  0  6  6  3  6  0

generates a code of length 35 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+66x^70+2x^72+6x^73+6x^78

The gray image is a code over GF(3) with n=315, k=4 and d=210.
This code was found by Heurico 1.16 in 0.00865 seconds.