The generator matrix

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

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+256x^33+172x^34+336x^35+28x^36+104x^37+52x^38+64x^39+2x^40+8x^41+1x^48

The gray image is a code over GF(2) with n=280, k=10 and d=132.
This code was found by Heurico 1.16 in 11.2 seconds.