The generator matrix

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

generates a code of length 33 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+647x^28+1506x^30+2002x^32+1980x^34+1363x^36+578x^38+109x^40+6x^44

The gray image is a code over GF(2) with n=132, k=13 and d=56.
This code was found by Heurico 1.16 in 97.1 seconds.