The generator matrix

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

generates a code of length 35 over Z3[X]/(X^2) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+58x^54+42x^55+132x^56+288x^57+270x^58+612x^59+816x^60+696x^61+1578x^62+1628x^63+1302x^64+3600x^65+3140x^66+2412x^67+5634x^68+4432x^69+3234x^70+6492x^71+4332x^72+2760x^73+5112x^74+3164x^75+1692x^76+2448x^77+1348x^78+606x^79+624x^80+310x^81+108x^82+12x^83+98x^84+46x^87+16x^90+6x^93

The gray image is a linear code over GF(3) with n=105, k=10 and d=54.
This code was found by Heurico 1.16 in 19.9 seconds.