The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  0  1  1 X+2  1  1  0  1  1 X+2  1  1  0  1  1  1  1  1 X+2  1  0  1  1  1  1  0  1  1  1  1  1  1 X+2 X+2  1  1
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  1  0  3  1 X+2 X+1  1 X+1  3  1  0 X+2  1  0 X+2 X+1 X+1  3  1  3  1  0 X+2  3  3  1 X+1  0 X+3 X+1 X+2  3  1  1  0  0
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  2  2  2  2  2  2  2  2  2  2  2  2  0  2  0  2  0  2  0  0  0  2  2  0  2  0  2  0  0  0
 0  0  0  2  0  0  0  0  0  0  0  0  0  2  0  2  0  2  0  0  2  2  2  2  0  2  2  2  0  0  2  2  0  0  2  0  2  2  2  2  2  0  0  0  0  0  2  0
 0  0  0  0  2  0  0  0  0  0  0  2  2  0  2  2  2  2  2  0  2  0  0  2  0  2  2  2  2  2  0  2  2  0  0  0  0  0  2  0  0  0  2  0  0  2  0  0
 0  0  0  0  0  2  0  0  0  0  2  2  2  0  2  0  0  2  2  2  0  2  2  0  0  2  0  2  0  0  2  0  0  2  2  2  2  2  0  0  2  0  2  2  2  2  0  0
 0  0  0  0  0  0  2  0  0  2  2  0  0  2  2  0  0  2  2  0  2  0  0  0  2  2  2  2  0  2  0  0  0  2  0  0  2  2  0  2  0  0  0  0  0  2  2  0
 0  0  0  0  0  0  0  2  0  2  0  0  0  0  0  0  2  2  0  2  2  0  2  2  2  0  0  2  0  2  2  0  2  0  2  2  2  2  0  2  0  0  2  0  0  2  0  2
 0  0  0  0  0  0  0  0  2  0  2  2  0  0  2  2  2  2  0  2  0  2  0  2  2  2  2  2  0  2  2  2  2  2  2  0  0  2  0  2  2  2  2  2  0  2  2  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+24x^38+4x^39+104x^40+84x^41+184x^42+384x^43+270x^44+992x^45+309x^46+1608x^47+307x^48+1608x^49+313x^50+992x^51+234x^52+384x^53+158x^54+84x^55+79x^56+4x^57+30x^58+22x^60+5x^62+4x^64+1x^66+2x^68+1x^72

The gray image is a code over GF(2) with n=192, k=13 and d=76.
This code was found by Heurico 1.16 in 2.7 seconds.