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

generates a code of length 58 over Z3[X]/(X^2) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+50x^93+186x^96+332x^99+436x^102+126x^104+434x^105+468x^107+556x^108+1242x^110+536x^111+2772x^113+580x^114+3546x^116+594x^117+3132x^119+698x^120+1476x^122+600x^123+360x^125+526x^126+440x^129+262x^132+160x^135+106x^138+44x^141+18x^144+2x^147

The gray image is a linear code over GF(3) with n=174, k=9 and d=93.
This code was found by Heurico 1.16 in 9.81 seconds.