The generator matrix

 1  0  1  1  1 X+2  1  1  0  1 X+2  1  1  1  1 X+2  1  0  1  1  1  1  0  1 X+2  1  1  1  2  1  X  1  1  1  1  1  X  1  1  0  1  2  2  X  1  X  1  1
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  1  3 X+1  3  0  1  3  1 X+2 X+1  3  0  1 X+2  1 X+1 X+3  2  1  X  1  3 X+3 X+3  3  3 X+2  1 X+3  1  1  X  1  X X+2  0  X X+3
 0  0  2  0  0  0  0  0  2  2  0  2  2  0  2  2  2  0  2  0  2  0  2  2  2  0  2  2  2  2  2  0  2  2  0  2  0  2  0  0  0  2  2  0  2  0  0  2
 0  0  0  2  0  0  0  0  2  2  2  0  0  2  0  0  2  2  0  2  2  2  2  2  0  0  0  0  0  0  2  0  2  2  2  2  2  0  0  2  2  0  0  2  0  0  0  2
 0  0  0  0  2  0  0  2  0  0  0  2  2  2  0  0  2  0  0  2  2  0  0  0  0  2  2  0  0  0  0  2  0  2  2  0  2  2  0  2  0  2  2  2  2  2  2  0
 0  0  0  0  0  2  2  2  2  0  2  0  2  0  2  2  0  0  0  2  2  2  0  2  0  0  0  0  0  2  0  2  2  2  2  0  0  2  2  0  0  0  2  2  0  0  0  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+245x^44+168x^46+241x^48+144x^50+186x^52+8x^54+28x^56+2x^64+1x^76

The gray image is a code over GF(2) with n=192, k=10 and d=88.
This code was found by Heurico 1.16 in 18.3 seconds.