The generator matrix

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

generates a code of length 16 over Z3[X]/(X^2) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+528x^26+344x^27+768x^29+608x^30+1494x^32+720x^33+1344x^35+456x^36+240x^38+56x^39+2x^48

The gray image is a linear code over GF(3) with n=48, k=8 and d=26.
This code was found by Heurico 1.16 in 1.52 seconds.