The generator matrix

 1  0  0  0  1  1  1  1  2  1  X  1 X+2  1  2  X  2  X  1  0  1  2  1  1  0  1  X  1  2 X+2 X+2  1 X+2  1 X+2  X  1  1  1  1 X+2  1  1  1  X X+2  2  0
 0  1  0  0  0  2  1  3  1 X+2  0 X+1  1  1  1  1  2  1  0  0 X+2 X+2  3 X+3  1 X+2  1  2  1  2  0  3  1 X+2  2  1  0 X+3  1  X X+2 X+3 X+1 X+1  1  1  1 X+2
 0  0  1  0  0  3  1  2  3  1  1  3  X X+2  1  X  1  2 X+3  1  1  0 X+3  X  2 X+3 X+2 X+2  3  2  1 X+2  1 X+2  1  0  X X+3  X  0  1  2 X+3 X+1  3  X X+3  1
 0  0  0  1  1  1  2  3  3  0 X+3  3 X+3 X+2  X  1  X  0  3  1 X+2  1 X+3 X+2  X  1  3  3  3  1 X+3  3  2  2  0  X  1  0 X+1  0  3  2  1 X+3  X  0 X+3 X+2
 0  0  0  0  X  0  0  0  0 X+2  X  X  X X+2 X+2  X  2  2  2 X+2  X  2  X  2  X X+2  2  0  X  X  0 X+2 X+2  X X+2  2  X  2  2  2  0  0  0 X+2  2  2  0 X+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+292x^41+556x^42+884x^43+1111x^44+1500x^45+1345x^46+1610x^47+1574x^48+1884x^49+1630x^50+1400x^51+939x^52+822x^53+385x^54+236x^55+114x^56+60x^57+16x^58+12x^59+4x^60+2x^61+4x^62+2x^63+1x^64

The gray image is a code over GF(2) with n=192, k=14 and d=82.
This code was found by Heurico 1.13 in 592 seconds.