The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  1  0 X+2  1  1  0 X+2  1  1  1  1  1  1  1  0  0 X+2 X+2  1  1  1  0  1  1  1  1 X+2  X X+2  1 X+2  1  X  1  1
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  0 X+1  1  1 X+2  3  1  1  0 X+2 X+1  3 X+1  3  0  1  1  1  1 X+1  3 X+2  1 X+2 X+1  0  0  1  0  1 X+1  1  0  0  0  0
 0  0  2  0  0  0  0  0  0  0  0  0  0  2  2  2  0  2  2  2  0  0  0  2  0  2  2  0  2  0  0  2  0  2  2  2  0  0  0  2  2  2  0  0  2  2  0  0
 0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  2  0  2  0  2  2  2  0  2  0  2  2  2  2  2  2  2  2  0  0
 0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  2  2  0  0  2  0  2  2  2  2  2  2  0  2  0  2  2  2  0  2  0  0  2  0  0  2  0  0
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  0  0  0  0  2  2  2  2  2  2  2  0  2  2  0  0  0  0  0  0  0  0  2  2  2  2  0  2  0  0  0  0
 0  0  0  0  0  0  2  0  0  0  0  2  2  0  0  2  2  0  2  2  0  2  0  2  2  0  0  2  0  0  0  0  2  0  2  2  0  0  2  0  2  2  0  2  0  0  0  0
 0  0  0  0  0  0  0  2  0  0  2  0  0  0  2  2  0  2  2  2  2  2  2  0  0  0  0  2  0  2  0  0  0  2  0  2  2  2  2  2  2  2  0  2  2  0  0  0
 0  0  0  0  0  0  0  0  2  0  2  2  0  2  2  0  2  0  2  0  2  0  2  0  2  2  0  2  2  2  2  2  0  2  0  2  0  2  2  2  0  2  0  2  0  2  0  0
 0  0  0  0  0  0  0  0  0  2  2  2  2  2  0  2  0  2  0  0  0  0  2  0  0  0  0  0  2  2  2  2  2  0  0  2  0  0  2  0  2  0  0  2  0  2  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+94x^36+56x^38+4x^39+328x^40+52x^41+614x^42+256x^43+1536x^44+672x^45+2112x^46+1064x^47+2791x^48+1064x^49+2220x^50+672x^51+1450x^52+256x^53+568x^54+52x^55+363x^56+4x^57+62x^58+68x^60+20x^64+4x^68+1x^72

The gray image is a code over GF(2) with n=192, k=14 and d=72.
This code was found by Heurico 1.16 in 9.09 seconds.