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

generates a code of length 55 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+134x^50+12x^51+55x^52+112x^53+84x^54+264x^55+50x^56+112x^57+108x^58+12x^59+16x^60+52x^62+5x^64+6x^66+1x^100

The gray image is a code over GF(2) with n=220, k=10 and d=100.
This code was found by Heurico 1.16 in 9.4 seconds.