The generator matrix

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

generates a code of length 48 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+119x^40+48x^41+286x^42+324x^43+528x^44+716x^45+740x^46+1012x^47+831x^48+924x^49+678x^50+652x^51+550x^52+356x^53+178x^54+60x^55+123x^56+4x^57+36x^58+18x^60+2x^62+6x^64

The gray image is a code over GF(2) with n=192, k=13 and d=80.
This code was found by Heurico 1.16 in 2.79 seconds.