The generator matrix

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

generates a code of length 43 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+684x^77+1368x^78+1656x^79+4728x^80+7786x^81+7632x^82+12876x^83+17076x^84+15300x^85+25212x^86+27180x^87+17676x^88+17418x^89+11342x^90+4356x^91+2856x^92+1464x^93+36x^94+276x^95+90x^96+84x^98+32x^99+18x^101

The gray image is a code over GF(3) with n=387, k=11 and d=231.
This code was found by Heurico 1.16 in 50.5 seconds.