The generator matrix

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

generates a code of length 48 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+48x^41+120x^42+208x^43+270x^44+332x^45+416x^46+438x^47+497x^48+454x^49+387x^50+330x^51+226x^52+178x^53+82x^54+42x^55+20x^56+10x^57+12x^58+6x^59+8x^60+2x^61+6x^62+2x^64+1x^66

The gray image is a code over GF(2) with n=192, k=12 and d=82.
This code was found by Heurico 1.16 in 1.47 seconds.