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

generates a code of length 58 over Z3[X]/(X^2) who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+86x^99+178x^102+254x^105+364x^108+818x^111+1266x^114+1588x^117+1056x^120+432x^123+182x^126+122x^129+82x^132+64x^135+40x^138+18x^141+8x^144+2x^153

The gray image is a linear code over GF(3) with n=174, k=8 and d=99.
This code was found by Heurico 1.16 in 1.1 seconds.