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

generates a code of length 56 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+36x^50+50x^51+51x^52+90x^53+103x^54+122x^55+143x^56+118x^57+99x^58+78x^59+41x^60+46x^61+23x^62+6x^63+4x^64+2x^65+9x^66+1x^70+1x^102

The gray image is a code over GF(2) with n=224, k=10 and d=100.
This code was found by Heurico 1.16 in 0.149 seconds.