The generator matrix

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

generates a code of length 40 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+456x^77+366x^78+558x^80+228x^81+432x^83+128x^84+12x^86+2x^90+4x^93

The gray image is a code over GF(3) with n=360, k=7 and d=231.
This code was found by Heurico 1.16 in 0.165 seconds.