The generator matrix

 1  0  1  1  1  2  X  1  1  1 X+2  1  1  1  2  1  1  2  1  1 X+2  1  1 X+2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  X  1  1  1  2  X
 0  1  1 X+2 X+3  1  1 X+1  X  3  1  X  X X+1  1  2 X+1  1  0  1  1  0  1  1  0 X+2  2  X  0 X+2  0 X+2  0 X+2 X+2  0  2 X+2 X+1  1 X+1  1  1  3  2 X+2  1  1
 0  0  X  0 X+2  X  X  2  X  2  0 X+2  0  2 X+2  X  X  0  0 X+2  0 X+2  2 X+2  0  2  X  X  0  2  X  X  2  0  X X+2 X+2 X+2  0 X+2 X+2 X+2  X  2  0  2  X X+2
 0  0  0  2  0  2  2  2  0  2  0  0  2  0  0  2  2  2  0  2  2  2  0  0  2  0  0  2  2  0  0  2  2  0  0  2  0  2  0  2  2  2  2  0  0  2  0  0
 0  0  0  0  2  2  0  0  2  2  2  0  2  2  2  2  0  0  2  2  2  0  0  0  2  2  0  2  0  0  2  0  0  0  2  2  0  2  0  0  2  0  2  2  2  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+208x^44+160x^46+305x^48+160x^50+176x^52+4x^56+8x^60+2x^72

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 0.378 seconds.