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

generates a code of length 57 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+198x^48+388x^50+60x^51+657x^52+216x^53+840x^54+436x^55+1065x^56+592x^57+1010x^58+484x^59+850x^60+216x^61+530x^62+44x^63+321x^64+146x^66+92x^68+30x^70+15x^72+1x^84

The gray image is a code over GF(2) with n=228, k=13 and d=96.
This code was found by Heurico 1.16 in 4.78 seconds.