The generator matrix

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

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+82x^41+237x^42+464x^43+635x^44+702x^45+780x^46+824x^47+888x^48+844x^49+770x^50+680x^51+461x^52+352x^53+236x^54+104x^55+59x^56+26x^57+25x^58+8x^59+4x^60+10x^61

The gray image is a code over GF(2) with n=192, k=13 and d=82.
This code was found by Heurico 1.16 in 2.37 seconds.