The generator matrix

 1  0  1  1  1 X^2+X  1  1 X+2  1  1 X^2+2  1  1  1  1  0 X^2+X  1  1  1  1 X^2+2 X+2  1  1  1  1  1  1  1  1  1  2  1
 0  1 X+1 X^2+X X^2+1  1 X^2+2 X^2+X+3  1 X+2  3  1  0 X^2+X X+1 X^2+1  1  1 X^2+2 X+2 X^2+X+3  3  1  1  2 X^2+X+2 X^2  X  2 X^2+X+2 X^2  X X+3  0  0
 0  0  2  2  0  2  2  0  0  0  2  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  0  2  0  2  2  0  2  2  0

generates a code of length 35 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+28x^33+254x^34+56x^35+86x^36+28x^37+57x^38+1x^50+1x^52

The gray image is a code over GF(2) with n=280, k=9 and d=132.
This code was found by Heurico 1.16 in 0.015 seconds.