The generator matrix

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

generates a code of length 48 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+123x^38+516x^39+1168x^40+2304x^41+3659x^42+5430x^43+7423x^44+10236x^45+12774x^46+14002x^47+15055x^48+14542x^49+12882x^50+10550x^51+7942x^52+5414x^53+3227x^54+1906x^55+1006x^56+506x^57+227x^58+108x^59+43x^60+22x^61+4x^62+2x^64

The gray image is a code over GF(2) with n=192, k=17 and d=76.
This code was found by Heurico 1.13 in 148 seconds.