The generator matrix

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

generates a code of length 50 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+292x^45+794x^46+1572x^47+2245x^48+2150x^49+2629x^50+2472x^51+1731x^52+1108x^53+697x^54+400x^55+174x^56+50x^57+39x^58+20x^59+8x^60+1x^62+1x^68

The gray image is a code over GF(2) with n=400, k=14 and d=180.
This code was found by Heurico 1.16 in 1.95 seconds.