The generator matrix

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

generates a code of length 42 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+846x^77+1490x^78+1620x^79+5040x^80+4332x^81+4536x^82+7620x^83+6566x^84+6318x^85+8628x^86+5374x^87+2430x^88+2952x^89+894x^90+162x^91+120x^92+40x^93+66x^95+12x^96+2x^99

The gray image is a code over GF(3) with n=378, k=10 and d=231.
This code was found by Heurico 1.16 in 12.2 seconds.