The generator matrix

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

generates a code of length 39 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+42x^66+94x^69+140x^72+94x^75+5910x^78+60x^81+64x^84+54x^87+50x^90+34x^93+8x^96+8x^99+2x^117

The gray image is a code over GF(3) with n=351, k=8 and d=198.
This code was found by Heurico 1.16 in 0.21 seconds.