The generator matrix

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

generates a code of length 62 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+426x^114+180x^115+468x^116+2002x^117+1548x^118+1854x^119+4242x^120+3726x^121+4914x^122+6300x^123+5922x^124+6390x^125+6710x^126+4878x^127+3546x^128+3098x^129+1242x^130+324x^131+734x^132+326x^135+164x^138+44x^141+2x^144+2x^147+2x^150+4x^153

The gray image is a code over GF(3) with n=558, k=10 and d=342.
This code was found by Heurico 1.16 in 13.9 seconds.