The generator matrix

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

generates a code of length 77 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 148.

Homogenous weight enumerator: w(x)=1x^0+1368x^148+894x^149+1514x^150+3042x^151+1500x^152+1214x^153+2532x^154+882x^155+1048x^156+1926x^157+858x^158+498x^159+1140x^160+306x^161+324x^162+516x^163+90x^164+8x^165+6x^166+4x^168+6x^171+6x^173

The gray image is a code over GF(3) with n=693, k=9 and d=444.
This code was found by Heurico 1.16 in 0.878 seconds.