The generator matrix

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

generates a code of length 44 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+768x^78+1458x^79+5028x^80+7418x^81+11640x^82+20136x^83+26586x^84+37254x^85+50220x^86+56030x^87+66864x^88+72972x^89+59976x^90+48936x^91+34440x^92+18280x^93+7596x^94+4212x^95+1162x^96+186x^97+66x^98+102x^99+48x^100+36x^101+14x^102+6x^103+6x^105

The gray image is a code over GF(3) with n=396, k=12 and d=234.
This code was found by Heurico 1.16 in 355 seconds.