The generator matrix

 1  0  1  1  1 X+2  1  1  2  X  1  1  2  1  1  1  1  2 X+2  1  1  1 X+2  1  1  1 X+2  1  1  1  2  1  1  1  0  1  2  1  1  0  1  2  1  1  0  X  2  1
 0  1  1 X+2 X+3  1  2 X+1  1  1  X  3  1  1  X X+3  0  1  1 X+1 X+3  0  1 X+2  1  0  1  3  2 X+1  1 X+1 X+2  2  0 X+1  1  X  X  1 X+1  1  3  3  1  0  X  0
 0  0  X  0 X+2  0  X  2 X+2 X+2  X  2  X  X  X  X  2  2 X+2  2  2 X+2  0  0 X+2  0  0  0 X+2  2  X  2  0  2  X  0  X  0  X  0  X  2 X+2  2  0 X+2 X+2  2
 0  0  0  2  0  0  0  2  2  0  0  0  2  2  2  2  2  0  0  2  0  2  2  0  2  0  0  2  0  2  2  0  2  0  0  0  0  0  2  2  0  0  2  2  0  2  0  0
 0  0  0  0  2  0  0  0  0  2  2  0  2  0  0  2  2  2  0  0  0  2  0  0  0  2  2  2  0  2  0  2  2  2  0  0  0  2  2  2  0  0  2  0  2  0  2  2
 0  0  0  0  0  2  2  0  2  0  0  2  2  2  0  2  0  0  0  2  0  2  0  2  0  2  2  0  0  2  0  2  0  0  0  2  0  2  2  0  0  2  2  2  0  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+53x^42+86x^43+204x^44+152x^45+281x^46+164x^47+278x^48+160x^49+221x^50+120x^51+130x^52+60x^53+81x^54+12x^55+21x^56+8x^57+2x^58+2x^59+5x^60+4x^61+2x^62+1x^68

The gray image is a code over GF(2) with n=192, k=11 and d=84.
This code was found by Heurico 1.16 in 0.194 seconds.