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  X  1  1  1  1  X  X  1  1  1  X  1  1  1  X  1  1
 0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X 2X 2X  X  X  0 2X  X  X  X  0  X  0  X  X 2X  0  X  X  X  X  0  X  0 2X
 0  0  X  0  0  0  0  0  0  0  0  0  0  0  0 2X  0  X  X  X  X 2X 2X 2X 2X  0  X  X 2X  0 2X  0 2X  0  X 2X  X 2X 2X  X  0
 0  0  0  X  0  0  0  0  0  0  0  0  X  X  X 2X 2X 2X  X 2X  X  X  0  X 2X  X  X  X  X  0  X  X  0  X 2X 2X 2X  X 2X  0  0
 0  0  0  0  X  0  0  0  0  0  X  X 2X 2X 2X  0 2X 2X  X  X  X  0  X 2X 2X  0  X  0  X 2X  X  0  0  0 2X  0  0  0  0  X  X
 0  0  0  0  0  X  0  0  0  X 2X 2X 2X 2X  0 2X 2X 2X 2X  X 2X  X  X 2X 2X  X  0 2X  X  X 2X  X 2X  0 2X  0 2X  0  0 2X 2X
 0  0  0  0  0  0  X  0  0 2X 2X  X 2X  0  X  0 2X 2X  0 2X 2X 2X 2X  X  0  0 2X  X  0  X  X  X  0 2X  0  0 2X  0  X  X  0
 0  0  0  0  0  0  0  X  0 2X  X 2X  0 2X  X  0  X  X 2X  0 2X 2X  X  X  0  X  0  0  X  0 2X 2X  X  0  0  0  0  X 2X  0 2X
 0  0  0  0  0  0  0  0  X  X  0  X  X 2X  X 2X  0 2X 2X  0  0  0 2X  X  0  0 2X  0  X  X  0  X 2X  0 2X  X 2X  X 2X 2X 2X

generates a code of length 41 over Z3[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+182x^60+368x^63+732x^66+992x^69+1458x^72+3392x^75+8632x^78+15390x^81+15554x^84+7582x^87+1870x^90+1374x^93+832x^96+402x^99+160x^102+80x^105+32x^108+10x^111+6x^114

The gray image is a linear code over GF(3) with n=123, k=10 and d=60.
This code was found by Heurico 1.16 in 49 seconds.