The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+216x^31+63x^32+32x^33+60x^34+96x^35+40x^39+4x^42

The gray image is a code over GF(2) with n=132, k=9 and d=62.
This code was found by Heurico 1.16 in 7.54 seconds.