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

generates a code of length 72 over Z3[X]/(X^2) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+68x^105+158x^108+244x^111+302x^114+360x^117+444x^120+618x^123+6x^125+786x^126+168x^128+880x^129+570x^131+1038x^132+1482x^134+1242x^135+3714x^137+1218x^138+6198x^140+1240x^141+8412x^143+1470x^144+8646x^146+1444x^147+6036x^149+1484x^150+3060x^152+1470x^153+918x^155+1354x^156+156x^158+1142x^159+904x^162+726x^165+510x^168+288x^171+146x^174+76x^177+36x^180+22x^183+2x^186+8x^189+2x^192

The gray image is a linear code over GF(3) with n=216, k=10 and d=105.
This code was found by Heurico 1.16 in 99.5 seconds.