The generator matrix

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

generates a code of length 57 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+202x^50+248x^51+628x^52+448x^53+851x^54+560x^55+949x^56+584x^57+968x^58+536x^59+739x^60+464x^61+460x^62+192x^63+211x^64+40x^65+68x^66+24x^68+9x^70+7x^72+2x^74+1x^76

The gray image is a code over GF(2) with n=228, k=13 and d=100.
This code was found by Heurico 1.16 in 3.6 seconds.