The generator matrix

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

generates a code of length 48 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+73x^36+48x^38+295x^40+32x^41+238x^42+224x^43+563x^44+672x^45+490x^46+1120x^47+730x^48+1120x^49+460x^50+672x^51+550x^52+224x^53+260x^54+32x^55+243x^56+38x^58+75x^60+2x^62+27x^64+3x^68

The gray image is a code over GF(2) with n=192, k=13 and d=72.
This code was found by Heurico 1.16 in 3.91 seconds.