The generator matrix

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

generates a code of length 93 over Z3[X]/(X^2) who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+44x^165+24x^166+114x^167+308x^168+198x^169+450x^170+796x^171+522x^172+1218x^173+1128x^174+810x^175+1962x^176+1594x^177+1206x^178+2478x^179+2098x^180+1542x^181+3414x^182+2480x^183+1722x^184+3942x^185+2710x^186+2010x^187+3834x^188+2544x^189+1926x^190+3612x^191+2312x^192+1374x^193+2478x^194+1604x^195+930x^196+1728x^197+1150x^198+594x^199+756x^200+498x^201+174x^202+198x^203+172x^204+84x^205+42x^206+102x^207+6x^208+18x^209+54x^210+32x^213+24x^216+16x^219+2x^222+8x^225+2x^228+4x^231

The gray image is a linear code over GF(3) with n=279, k=10 and d=165.
This code was found by Heurico 1.16 in 76.5 seconds.