The generator matrix

 1  0  0  1  1  1  2  0  1  1  0  2  1  1  X  X  1  2  1  1  0  1  1  X  1 X+2  1  1  1  X  1  2 X+2  1  1  1  1  1  1  1  X  X  1  1  1  1  1  1
 0  1  0  0  1  1  1  X  2  3  1  1  2  3  0 X+2  1  1  2  X  1  1  2  2 X+2  1 X+1 X+2 X+3  1  1  1  1 X+3  X X+1  3 X+3 X+3 X+1  1  1  1 X+1  X X+1  2  X
 0  0  1  1  2  3  1  1  X X+2  X X+3 X+1 X+3  1  1  X  1  3 X+2  2 X+1  2  1  1  3 X+2  0  0 X+3  1  X X+2 X+1 X+1  0  0 X+1  1  1  2  2  X  X X+3 X+3 X+3  0
 0  0  0  2  0  2  2  2  2  2  2  0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  0  2  2  0  0  0  0  2  0  2  2  0  2  2  0  2  0  2  0  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+52x^44+198x^45+137x^46+192x^47+68x^48+104x^49+48x^50+68x^51+39x^52+34x^53+22x^54+44x^55+15x^56+1x^60+1x^62

The gray image is a code over GF(2) with n=192, k=10 and d=88.
This code was found by Heurico 1.11 in 0.0495 seconds.