The generator matrix

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

generates a code of length 50 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+100x^42+856x^43+2593x^44+6012x^45+12018x^46+19460x^47+29599x^48+38468x^49+43028x^50+38976x^51+30818x^52+19744x^53+11290x^54+5604x^55+2270x^56+852x^57+298x^58+64x^59+61x^60+12x^61+12x^62+2x^64+6x^66

The gray image is a code over GF(2) with n=400, k=18 and d=168.
This code was found by Heurico 1.16 in 389 seconds.