The generator matrix

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

generates a code of length 55 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+83x^46+214x^48+291x^50+565x^52+926x^54+885x^56+576x^58+301x^60+143x^62+63x^64+11x^66+12x^68+16x^70+5x^72+2x^74+1x^76+1x^84

The gray image is a code over GF(2) with n=220, k=12 and d=92.
This code was found by Heurico 1.16 in 21 seconds.