The generator matrix

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

generates a code of length 70 over Z3[X]/(X^3) who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+1130x^132+1008x^133+2520x^134+4008x^135+2952x^136+5076x^137+5736x^138+4230x^139+5526x^140+6444x^141+3564x^142+4824x^143+4792x^144+2286x^145+2106x^146+1612x^147+468x^148+360x^149+244x^150+72x^151+56x^153+14x^156+12x^159+8x^162

The gray image is a linear code over GF(3) with n=630, k=10 and d=396.
This code was found by Heurico 1.16 in 11 seconds.