The generator matrix

 1  0  0  0  0  1  1  1  2  1  1  1  1 X+2  0 X+2 X+2 X+2  2  1  2  0  1  X  1  1 X+2  1  1  X  1  2  X  1  1  X  1  1  1 X+2  1  1  X  1  0  1  X  1 X+2  X X+2  1  1  2  X  1  1
 0  1  0  0  0  0  0  0  0  2  2  2  2  0  1  1  1  1  1 X+1  1  X X+1  X X+1  1  1 X+2 X+1  1 X+1 X+2  X  1  1  1  1 X+2 X+2  X X+2  X  1  X  1  2  1 X+3  0  1  1 X+1  X  1  1 X+3  0
 0  0  1  0  0  2  1  3  1  X  0 X+1 X+3  1 X+2  3 X+1  2 X+3 X+1  2  1  X X+2  X  1 X+1  3 X+2  1 X+3  0 X+2  3  2 X+1  0 X+1  1  1  2 X+1 X+2 X+2  2  3  1  X  2  2 X+1  3 X+2 X+2  2  2  0
 0  0  0  1  0  3  1  2  3  0 X+1  X  3  0 X+1  2  3 X+3  1 X+2  X X+1 X+3  1  1  0 X+2 X+2  X  2  1  1  2  X  0  3  2  0  1  1  3 X+2 X+1  0  0  3  1  0  1  X  1  3  X  X  0 X+2  2
 0  0  0  0  1  1  2  3  3 X+1  X  0  3 X+1 X+1 X+2 X+1  X  0 X+3  1 X+2  0 X+1  3 X+2  1 X+2  X  0 X+1 X+3  1  2  2 X+2 X+1  0 X+1 X+2  0  1 X+2 X+3  1 X+2  3 X+3 X+1  0  2  2  3  0  0 X+1  2

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+64x^48+396x^49+790x^50+1280x^51+1599x^52+2116x^53+2507x^54+3000x^55+3017x^56+3324x^57+2962x^58+3026x^59+2646x^60+2282x^61+1415x^62+998x^63+624x^64+332x^65+190x^66+118x^67+49x^68+14x^69+8x^70+10x^71

The gray image is a code over GF(2) with n=228, k=15 and d=96.
This code was found by Heurico 1.13 in 13.3 seconds.