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  X  0  1  1  1  X  0  1  1  1  1  1  X  1  0  1  1  1  0  1  1  1  X  1  X  0  1  1  0  0  1  1  2  1
 0  X  0 X+2  0 X+2  0 X+2  0 X+2  2 X+2  0 X+2  X  0  2  2  0  0  2 X+2 X+2 X+2  X  0  2  X X+2  X X+2 X+2 X+2 X+2 X+2 X+2  X  X X+2  0  2  X  0  X  0 X+2  X X+2  X  2  2  X  X  2  0  2  2
 0  0  2  0  0  0  0  0  0  0  2  0  2  2  2  0  2  0  0  2  2  0  2  2  2  0  0  0  0  2  0  2  0  2  0  2  2  2  2  2  0  2  0  0  2  2  0  2  0  0  0  2  0  0  0  0  0
 0  0  0  2  0  0  0  0  0  0  0  2  0  2  2  0  0  0  0  0  0  0  2  2  0  0  0  2  2  0  0  0  0  2  2  0  2  2  0  2  2  2  2  0  2  0  2  0  0  2  2  2  2  0  2  0  2
 0  0  0  0  2  0  0  0  0  0  0  0  2  0  0  0  2  2  2  2  2  2  2  2  0  0  0  2  2  0  2  2  0  0  0  2  2  0  0  0  0  2  2  0  2  2  0  0  2  2  2  0  0  0  2  2  2
 0  0  0  0  0  2  0  0  0  2  0  2  0  0  2  0  0  0  2  2  2  2  2  0  2  2  2  0  0  2  2  0  0  2  0  2  2  2  2  0  2  2  2  0  0  2  0  2  0  2  0  0  2  2  2  2  2
 0  0  0  0  0  0  2  0  0  0  0  0  2  0  0  2  0  2  0  0  2  0  0  2  2  2  2  0  2  2  0  0  2  2  2  2  2  0  2  0  0  0  2  2  2  0  2  2  0  0  0  2  2  2  2  0  0
 0  0  0  0  0  0  0  2  0  2  0  0  0  2  2  2  2  0  2  0  2  0  2  0  2  2  0  2  2  2  0  2  0  0  0  2  2  0  0  2  0  0  2  2  0  2  0  0  0  2  2  2  2  0  0  2  0
 0  0  0  0  0  0  0  0  2  0  2  2  2  2  0  2  0  0  2  2  2  0  0  0  2  2  0  0  2  0  2  2  0  0  0  0  2  2  0  0  2  2  0  0  2  0  2  0  2  2  0  0  0  2  0  0  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+112x^48+4x^49+104x^50+48x^51+324x^52+208x^53+236x^54+464x^55+313x^56+600x^57+204x^58+464x^59+290x^60+208x^61+196x^62+48x^63+163x^64+4x^65+28x^66+52x^68+18x^72+6x^76+1x^88

The gray image is a code over GF(2) with n=228, k=12 and d=96.
This code was found by Heurico 1.16 in 1.29 seconds.