The generator matrix

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

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+446x^42+1413x^44+1492x^46+1656x^48+1522x^50+1019x^52+504x^54+95x^56+36x^58+8x^60

The gray image is a code over GF(2) with n=192, k=13 and d=84.
This code was found by Heurico 1.16 in 34.5 seconds.