The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  0  1  1  1  2  1  1  0  2  1  1  1 X+2  0  1  1 X+2  1 X+2  1  1  1  1 X+2  1  1  X X+2  1  1  X  1  1  0  2
 0  1  1  0  1  1  X X+3  1 X+2  1 X+3  0  1 X+1  3  2  1 X+1  X  1  1  2 X+1  0  1  1 X+1  2  1 X+2  1  1  0 X+2  1  1  3  2  2  1  2  2 X+2  2 X+1  1  1
 0  0  X  0  0  0  0  0  0  2  2  X  X  X  0 X+2  X X+2  X  2  X  2  2  X X+2 X+2  X  2  X  X X+2  0  2  X X+2 X+2  2  2 X+2  0  2  0  X X+2  X  X  0  X
 0  0  0  X  0  0  X  2  X  2 X+2  0  0  0 X+2 X+2 X+2 X+2  2  2  X  X X+2 X+2  X  2 X+2  2  2  X  2  2  2  2  X X+2 X+2  X  2  X  2  2 X+2  0  0  X  0  0
 0  0  0  0  X  0  0  X  2  2  0  2 X+2  X X+2  2 X+2  X  X X+2  0 X+2 X+2 X+2  2  0  0  0  2  X X+2  X X+2  0 X+2 X+2 X+2  2  0  2  X  0  2  0 X+2 X+2  2  0
 0  0  0  0  0  2  2  2  2  2  0  2  2  2  2  2  2  2  0  0  2  0  2  0  2  2  0  2  2  0  0  2  2  2  0  0  0  2  2  2  0  0  0  2  0  2  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+52x^40+134x^41+256x^42+388x^43+525x^44+662x^45+743x^46+936x^47+943x^48+796x^49+839x^50+692x^51+442x^52+324x^53+174x^54+112x^55+80x^56+30x^57+28x^58+16x^59+5x^60+6x^61+7x^62+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 2.9 seconds.