The generator matrix

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

generates a code of length 50 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+86x^41+174x^42+282x^43+456x^44+670x^45+1010x^46+1226x^47+1519x^48+1772x^49+1944x^50+1892x^51+1554x^52+1332x^53+891x^54+604x^55+392x^56+206x^57+184x^58+82x^59+38x^60+30x^61+18x^62+10x^63+8x^64+2x^66+1x^70

The gray image is a code over GF(2) with n=200, k=14 and d=82.
This code was found by Heurico 1.16 in 10.6 seconds.