The generator matrix

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

generates a code of length 48 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+60x^42+248x^43+351x^44+478x^45+430x^46+412x^47+354x^48+404x^49+354x^50+362x^51+206x^52+178x^53+98x^54+76x^55+55x^56+12x^57+10x^58+6x^59+1x^60

The gray image is a code over GF(2) with n=192, k=12 and d=84.
This code was found by Heurico 1.11 in 0.227 seconds.