The generator matrix

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

generates a code of length 50 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+148x^43+1380x^44+3218x^45+5981x^46+10144x^47+15783x^48+17904x^49+21033x^50+19282x^51+16068x^52+10050x^53+5619x^54+2562x^55+1276x^56+374x^57+171x^58+50x^59+4x^60+4x^61+12x^62+6x^63+2x^65

The gray image is a code over GF(2) with n=400, k=17 and d=172.
This code was found by Heurico 1.16 in 106 seconds.