The generator matrix

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

generates a code of length 40 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+582x^71+876x^72+1920x^73+4392x^74+5768x^75+9486x^76+12840x^77+14636x^78+21366x^79+24492x^80+21968x^81+23430x^82+17694x^83+9008x^84+4818x^85+2460x^86+824x^87+198x^88+180x^89+114x^90+12x^91+54x^92+20x^93+6x^94+2x^96

The gray image is a code over GF(3) with n=360, k=11 and d=213.
This code was found by Heurico 1.16 in 37.6 seconds.