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

generates a code of length 61 over Z3[X]/(X^2) who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+122x^111+172x^114+256x^117+522x^120+516x^123+324x^126+128x^129+46x^132+16x^135+30x^138+14x^141+18x^144+8x^147+6x^150+4x^153+2x^159+2x^162

The gray image is a linear code over GF(3) with n=183, k=7 and d=111.
This code was found by Heurico 1.16 in 3.4 seconds.