The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+64x^46+124x^47+204x^48+280x^49+356x^50+372x^51+442x^52+468x^53+493x^54+510x^55+501x^56+582x^57+524x^58+550x^59+503x^60+474x^61+428x^62+358x^63+299x^64+214x^65+134x^66+126x^67+86x^68+26x^69+39x^70+8x^71+11x^72+4x^73+10x^74+1x^76

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 8.16 seconds.