The generator matrix

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

generates a code of length 21 over Z3[X]/(X^2) who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+34x^27+6x^28+42x^29+220x^30+126x^31+264x^32+686x^33+594x^34+1404x^35+1892x^36+1680x^37+4290x^38+3932x^39+3240x^40+8058x^41+5396x^42+3834x^43+7992x^44+4820x^45+2742x^46+3768x^47+2240x^48+900x^49+426x^50+344x^51+84x^54+34x^57

The gray image is a linear code over GF(3) with n=63, k=10 and d=27.
This code was found by Heurico 1.16 in 7.06 seconds.