The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  1  1  X  X  X  X  1  X  1  1  1
 0  2  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  2  2  0  2  2  2  0  0  0  2  2  0  0  2  0  2
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  0  0  2  0  0  2  0  0  2  2  2  2  2  2  0  2  0  2  2  2  0  2
 0  0  0  2  0  0  0  0  0  0  0  0  0  2  0  0  0  2  2  2  2  2  2  0  0  0  0  2  2  0  2  0  0  2  2  0  2  2  0  0  2  0  2  2  2  2  2  2
 0  0  0  0  2  0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  2  0  2  2  0  2  2  2  0  0  0  2  0  0  0  0  2  0  0  2  2  2  2  2  2  0  2  0
 0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  2  2  0  2  2  0  2  0  2  0  2  2  2  0  2  0  0  2  2  0  2  0  0  0  0  0  2  0  0  2  0  0  2
 0  0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  2  2  2  2  0  2  2  0  2  0  2  0  2  0  0  2  0  2  0  0  0  2  2  2  2  2  2  2  0  2  0  2
 0  0  0  0  0  0  0  2  0  0  0  2  0  0  0  0  2  2  0  2  0  0  0  2  2  2  0  0  0  2  2  0  2  0  2  2  2  0  2  0  0  2  0  2  2  0  0  0
 0  0  0  0  0  0  0  0  2  0  0  2  0  0  0  2  0  0  2  0  2  0  0  2  0  0  0  0  2  2  2  0  0  2  0  2  2  2  2  2  0  0  2  2  0  0  0  2
 0  0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  0  0  0  2  0  0  2  2  0  0  2  0  2  2  0  2  2  2  0  0  2  0  2  2  0  2  2  0  0  2  0  2
 0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  0  0  2  2  2  2  2  0  2  0  2  0  0  0  0  0  0  0  0  0  0  0  2  2  2  0  0  2  0  2  0  2  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+148x^36+305x^40+64x^42+608x^44+448x^46+5034x^48+448x^50+656x^52+64x^54+267x^56+120x^60+24x^64+4x^68+1x^80

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 4.74 seconds.