The generator matrix

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

generates a code of length 57 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+142x^49+336x^50+752x^51+807x^52+1182x^53+1167x^54+1650x^55+1290x^56+1868x^57+1385x^58+1584x^59+1087x^60+1216x^61+703x^62+556x^63+264x^64+194x^65+111x^66+64x^67+6x^68+2x^69+6x^70+2x^71+1x^72+4x^73+4x^74

The gray image is a code over GF(2) with n=228, k=14 and d=98.
This code was found by Heurico 1.16 in 9.26 seconds.