The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  2  X  1  1  1  1  X  1  1  0  1  2  X
 0  X  0  X  0  0  X X+2  2  2  X X+2 X+2 X+2  2  2  0 X+2  0  X  X  X  2 X+2 X+2  X  0  2  X  0  X  X  2
 0  0  X  X  0 X+2  X  2  0  X  X  0  2  X  2 X+2 X+2 X+2  X  0 X+2 X+2  2  X  0  0 X+2  2  X  X  0 X+2  0
 0  0  0  2  0  0  2  0  0  0  0  2  2  0  2  2  2  2  2  0  2  0  2  0  2  2  0  0  0  2  0  0  2
 0  0  0  0  2  0  0  0  2  2  0  2  0  2  2  2  2  2  2  2  0  0  0  0  0  0  2  0  2  0  2  0  0
 0  0  0  0  0  2  2  2  2  2  0  0  0  0  0  2  2  0  0  0  0  2  2  0  2  0  2  2  2  2  2  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+73x^28+8x^29+143x^30+64x^31+190x^32+112x^33+187x^34+64x^35+86x^36+8x^37+45x^38+29x^40+9x^42+4x^44+1x^52

The gray image is a code over GF(2) with n=132, k=10 and d=56.
This code was found by Heurico 1.16 in 0.0471 seconds.