The generator matrix

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

generates a code of length 42 over Z9[X]/(X^2+3,3X) 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 0.027 seconds.