The generator matrix

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

generates a code of length 42 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+344x^81+594x^82+360x^84+324x^85+336x^87+216x^88+6x^90+6x^96

The gray image is a code over GF(3) with n=378, k=7 and d=243.
This code was found by Heurico 1.16 in 0.0269 seconds.