The generator matrix

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

generates a code of length 51 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+74x^43+171x^44+220x^45+490x^46+366x^47+827x^48+564x^49+1094x^50+658x^51+1096x^52+578x^53+829x^54+338x^55+409x^56+156x^57+126x^58+86x^59+52x^60+14x^61+20x^62+12x^63+3x^64+4x^65+2x^67+1x^68+1x^70

The gray image is a code over GF(2) with n=204, k=13 and d=86.
This code was found by Heurico 1.16 in 3.81 seconds.