The generator matrix

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

generates a code of length 34 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+162x^59+420x^60+234x^61+1440x^62+1608x^63+1656x^64+5742x^65+5832x^66+5292x^67+10704x^68+8510x^69+5382x^70+7476x^71+2974x^72+558x^73+540x^74+252x^75+168x^77+68x^78+12x^80+12x^81+2x^87+4x^90

The gray image is a code over GF(3) with n=306, k=10 and d=177.
This code was found by Heurico 1.16 in 19.4 seconds.