The generator matrix

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

generates a code of length 33 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+250x^31+228x^32+210x^33+109x^34+116x^35+42x^36+58x^37+3x^38+6x^39+1x^44

The gray image is a code over GF(2) with n=264, k=10 and d=124.
This code was found by Heurico 1.16 in 123 seconds.