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

generates a code of length 57 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+61x^46+144x^47+206x^48+292x^49+400x^50+528x^51+599x^52+882x^53+1189x^54+1358x^55+1571x^56+1760x^57+1860x^58+1422x^59+1031x^60+890x^61+633x^62+530x^63+358x^64+210x^65+178x^66+106x^67+64x^68+60x^69+29x^70+8x^71+7x^72+2x^73+2x^74+1x^76+1x^80+1x^84

The gray image is a code over GF(2) with n=228, k=14 and d=92.
This code was found by Heurico 1.16 in 17.1 seconds.