The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  X X+2  1  2  1  1  1  X  1  1  0 X+2  1  2  1  1  0  X  2  X  1 X+2  1  1  1  1  0  1  X  1  0  0  2 X+2  1  X  1
 0  1  0  0  2  1  3  1 X+2  X X+3  0  1 X+3  1  0  3  2  1 X+1  X  1  1  0  2 X+1 X+2  2  1  X X+2  1  0 X+2  1 X+3  1  1  X  1 X+2 X+2  1  1  1  1  1  2
 0  0  1  0  3  1  2  3  0  3 X+1  1  1  X  2  3  X X+3 X+2 X+1  2  1  0  X  1  2  2  X X+1  1  1  3  1 X+1 X+3  1  X X+2  1  0  X  2  3  X  X  2  X  2
 0  0  0  1  1  2  3  3 X+1  0  3  1 X+2  0 X+1  X X+2 X+3 X+1 X+3  1 X+2  2 X+1 X+2 X+2  0  1  3 X+3 X+2 X+3 X+3  3  3  2  0  X X+2  X  1  1  0  2  X  2  0 X+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+270x^43+317x^44+432x^45+468x^46+466x^47+382x^48+416x^49+339x^50+270x^51+208x^52+204x^53+107x^54+98x^55+23x^56+20x^57+16x^58+5x^60+1x^62

The gray image is a code over GF(2) with n=192, k=12 and d=84.
This code was found by Heurico 1.16 in 0.448 seconds.