The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  X  1  1  1  1  1  1  1  1  X  1  X  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1
 0  6  0  0  0  0  0  0  0  0  0  0  0  6  3  6  3  3  3  3  0  6  3  3  6  0  6  6  3  0  6  0  6  3  3  6  0  0  3  0  6  3  6  0  6  6  6  6  3  3  3  3  0  6  6  0  6  0  0  3  0  0
 0  0  6  0  0  0  0  0  0  0  0  6  6  0  0  6  6  3  0  3  3  3  6  3  6  6  6  3  0  6  6  6  3  6  3  3  6  3  6  6  3  6  3  6  3  0  0  6  0  3  6  0  0  6  0  3  6  6  0  6  6  0
 0  0  0  6  0  0  0  0  6  3  3  3  6  0  0  0  6  6  3  0  3  6  6  6  0  6  3  3  3  6  0  0  0  3  6  0  0  0  6  3  0  3  6  6  3  6  3  6  0  6  6  6  3  6  6  3  0  3  6  6  3  0
 0  0  0  0  6  0  0  6  3  0  3  0  6  3  0  6  3  6  6  0  0  0  6  3  6  0  6  3  6  3  0  3  6  6  0  6  0  3  0  3  0  3  6  3  6  3  0  0  6  6  6  0  3  3  6  6  6  6  6  3  0  0
 0  0  0  0  0  6  0  3  3  6  0  3  6  0  3  3  0  6  3  3  0  3  6  6  0  3  0  6  3  6  3  0  3  6  0  6  6  3  0  6  6  3  3  3  0  0  3  0  3  6  3  0  3  0  0  0  0  0  3  0  3  0
 0  0  0  0  0  0  6  3  3  3  3  3  3  3  6  6  0  0  6  0  6  6  6  6  6  6  3  0  0  6  0  0  3  3  3  3  3  3  0  6  6  3  0  0  3  0  0  0  0  3  6  3  0  3  6  6  0  3  0  6  0  0

generates a code of length 62 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+24x^105+128x^108+226x^111+226x^114+460x^117+732x^120+1834x^123+13122x^124+1520x^126+778x^129+154x^132+140x^135+114x^138+114x^141+40x^144+40x^147+24x^150+2x^153+2x^162+2x^171

The gray image is a code over GF(3) with n=558, k=9 and d=315.
This code was found by Heurico 1.16 in 3.23 seconds.