The generator matrix

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

generates a code of length 50 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+133x^40+646x^41+1312x^42+2454x^43+3640x^44+5800x^45+7561x^46+9990x^47+11741x^48+14658x^49+14358x^50+14912x^51+12225x^52+10676x^53+7894x^54+5660x^55+3171x^56+2026x^57+1136x^58+626x^59+254x^60+108x^61+57x^62+22x^63+2x^64+6x^65+2x^66+1x^68

The gray image is a code over GF(2) with n=200, k=17 and d=80.
This code was found by Heurico 1.13 in 155 seconds.