The generator matrix

 1  0  0  0  0  0  1  1  1  2  1  1  1  2  1  1  1  1  1  1  1  1  0  0  2  0  0  0  0  1  1  2  2  1  0  1  1  2  0  1  0  1  2  1  0  1  0  1  1  2  2  1  1  0  1  1  1
 0  1  0  0  0  0  0  0  0  0  0  1  1  1  1  3  2  2  1  3  3  3  1  1  1  0  0  1  1  2  3  1  2  3  2  2  2  0  1  3  0  2  2  0  2  1  1  2  1  1  2  2  0  1  0  3  0
 0  0  1  0  0  0  0  0  0  0  1  0  1  3  1  2  3  1  3  2  2  3  3  2  0  1  1  3  1  3  0  2  1  1  2  1  0  1  0  3  1  3  1  3  1  2  0  1  0  0  1  2  1  2  0  2  0
 0  0  0  1  0  0  0  1  1  1  3  3  0  1  2  1  3  0  3  2  0  3  2  2  3  0  1  0  3  0  3  1  2  3  1  3  1  1  0  1  1  1  2  0  3  0  1  3  1  2  1  1  0  2  1  3  0
 0  0  0  0  1  0  1  1  0  3  2  2  0  2  3  1  3  2  0  2  3  1  1  1  2  3  1  2  1  1  3  0  2  3  1  3  1  0  2  0  3  0  0  1  0  2  2  2  0  3  3  1  2  0  1  2  1
 0  0  0  0  0  1  1  2  3  1  0  2  2  2  3  3  1  1  3  1  2  0  2  1  1  1  0  3  1  2  3  3  2  2  1  1  2  3  2  1  1  1  1  3  0  2  0  3  1  2  1  2  3  3  1  1  3
 0  0  0  0  0  0  2  0  2  2  0  0  0  0  2  2  2  2  2  2  0  0  0  2  2  2  2  0  0  2  0  0  2  2  0  0  2  0  2  0  0  2  2  0  0  2  2  0  2  0  0  0  0  0  2  2  0

generates a code of length 57 over Z4 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+76x^46+134x^47+219x^48+268x^49+288x^50+392x^51+466x^52+492x^53+443x^54+502x^55+552x^56+536x^57+552x^58+548x^59+526x^60+488x^61+366x^62+326x^63+332x^64+220x^65+158x^66+132x^67+80x^68+44x^69+34x^70+14x^71+2x^74+1x^86

The gray image is a code over GF(2) with n=114, k=13 and d=46.
This code was found by Heurico 1.16 in 8.18 seconds.