The generator matrix

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

generates a code of length 92 over Z3[X]/(X^2) who´s minimum homogenous weight is 165.

Homogenous weight enumerator: w(x)=1x^0+354x^165+1360x^168+2690x^171+4566x^174+5910x^177+7000x^180+8542x^183+8568x^186+7832x^189+5834x^192+3582x^195+1802x^198+622x^201+202x^204+66x^207+54x^210+28x^213+16x^216+8x^219+6x^222+6x^225

The gray image is a linear code over GF(3) with n=276, k=10 and d=165.
This code was found by Heurico 1.16 in 93.6 seconds.