The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+90x^45+202x^46+290x^47+364x^48+454x^49+617x^50+668x^51+835x^52+898x^53+994x^54+1084x^55+1035x^56+1188x^57+1128x^58+1148x^59+1097x^60+906x^61+789x^62+670x^63+593x^64+458x^65+307x^66+200x^67+147x^68+90x^69+54x^70+36x^71+21x^72+12x^73+4x^74+1x^76+1x^78+2x^80

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 59.9 seconds.