The generator matrix

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

generates a code of length 30 over Z3[X]/(X^2) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+62x^45+24x^46+66x^47+348x^48+342x^49+426x^50+970x^51+1308x^52+1020x^53+1854x^54+3372x^55+2010x^56+3828x^57+6300x^58+3450x^59+5084x^60+7554x^61+3234x^62+4192x^63+5190x^64+2136x^65+2412x^66+1944x^67+660x^68+680x^69+210x^70+120x^71+176x^72+54x^75+16x^78+6x^81

The gray image is a linear code over GF(3) with n=90, k=10 and d=45.
This code was found by Heurico 1.16 in 15.4 seconds.