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

generates a code of length 71 over Z3[X]/(X^2) who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+38x^123+172x^126+24x^128+184x^129+54x^131+210x^132+246x^134+216x^135+618x^137+190x^138+990x^140+178x^141+1146x^143+182x^144+816x^146+182x^147+414x^149+160x^150+66x^152+136x^153+104x^156+80x^159+58x^162+34x^165+34x^168+18x^171+6x^174+2x^177+2x^183

The gray image is a linear code over GF(3) with n=213, k=8 and d=123.
This code was found by Heurico 1.16 in 1.42 seconds.