The generator matrix

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

generates a code of length 51 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+143x^42+48x^43+550x^44+304x^45+863x^46+692x^47+1726x^48+1264x^49+1896x^50+1532x^51+1938x^52+1240x^53+1540x^54+748x^55+882x^56+256x^57+477x^58+52x^59+128x^60+8x^61+69x^62+23x^64+4x^66

The gray image is a code over GF(2) with n=204, k=14 and d=84.
This code was found by Heurico 1.16 in 10.6 seconds.