The generator matrix

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

generates a code of length 49 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+235x^44+392x^46+448x^48+394x^50+359x^52+132x^54+60x^56+10x^58+14x^60+2x^64+1x^72

The gray image is a code over GF(2) with n=196, k=11 and d=88.
This code was found by Heurico 1.16 in 0.298 seconds.