The generator matrix

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

generates a code of length 57 over Z4 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+74x^45+210x^46+274x^47+381x^48+534x^49+556x^50+672x^51+789x^52+910x^53+1008x^54+1050x^55+1190x^56+1120x^57+1117x^58+1116x^59+950x^60+966x^61+837x^62+684x^63+625x^64+450x^65+329x^66+194x^67+144x^68+90x^69+37x^70+40x^71+15x^72+16x^73+2x^74+2x^75+1x^92

The gray image is a code over GF(2) with n=114, k=14 and d=45.
This code was found by Heurico 1.16 in 59.5 seconds.