The generator matrix

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

generates a code of length 48 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+408x^44+496x^46+439x^48+332x^50+230x^52+56x^54+64x^56+12x^58+10x^60

The gray image is a code over GF(2) with n=192, k=11 and d=88.
This code was found by Heurico 1.16 in 2.3 seconds.