The generator matrix

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

generates a code of length 48 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+72x^40+154x^41+201x^42+358x^43+483x^44+728x^45+891x^46+846x^47+900x^48+800x^49+801x^50+724x^51+444x^52+320x^53+188x^54+104x^55+74x^56+46x^57+29x^58+14x^59+9x^60+1x^62+2x^63+1x^64+1x^66

The gray image is a code over GF(2) with n=192, k=13 and d=80.
This code was found by Heurico 1.16 in 2.83 seconds.