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  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
 0  X 2X  0 X+3 2X X+3 2X+6  0  6 X+3 2X  0 X+6 2X+6  6 X+6 2X  6 X+3  6 2X+3 X+6 2X+6  3 X+6 2X+6  0  0  6  6 X+3 X+3 X+6 X+6 2X 2X+6 2X 2X+3  0 X+3 2X+6  3  X 2X  3 2X+6 X+6  3 2X+3  X 2X+3 2X  0  6  3 2X+6 X+3  3  0
 0  0  6  0  6  0  3  3  6  3  3  0  6  0  6  6  0  6  3  6  0  3  6  0  3  3  3  0  6  6  0  3  6  6  3  3  0  3  0  3  0  6  0  3  0  3  6  6  0  0  3  3  6  3  6  0  0  0  3  6
 0  0  0  6  3  6  6  3  3  6  3  3  0  3  3  6  6  6  3  6  3  6  0  0  0  0  0  3  6  0  0  0  0  6  3  6  3  3  6  0  0  0  6  6  0  6  6  3  0  3  3  0  3  3  3  3  6  3  3  3

generates a code of length 60 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+10x^114+36x^115+108x^116+24x^117+258x^118+96x^119+990x^120+480x^121+54x^122+12x^123+18x^124+36x^125+8x^126+12x^127+30x^128+6x^129+6x^130+2x^177

The gray image is a code over GF(3) with n=540, k=7 and d=342.
This code was found by Heurico 1.16 in 0.113 seconds.