The generator matrix

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

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+36x^46+90x^47+144x^48+390x^49+316x^50+596x^51+426x^52+950x^53+624x^54+1152x^55+645x^56+872x^57+436x^58+612x^59+253x^60+312x^61+104x^62+102x^63+53x^64+34x^65+16x^66+8x^67+8x^68+2x^69+4x^70+5x^72+1x^76

The gray image is a code over GF(2) with n=220, k=13 and d=92.
This code was found by Heurico 1.16 in 3.22 seconds.