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

generates a code of length 58 over Z4 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+99x^46+198x^47+254x^48+382x^49+501x^50+660x^51+768x^52+756x^53+851x^54+1000x^55+1028x^56+1082x^57+1132x^58+1082x^59+1069x^60+1022x^61+990x^62+892x^63+712x^64+576x^65+421x^66+342x^67+224x^68+134x^69+91x^70+46x^71+35x^72+16x^73+10x^74+4x^75+2x^76+1x^78+1x^80+1x^88+1x^92

The gray image is a code over GF(2) with n=116, k=14 and d=46.
This code was found by Heurico 1.16 in 60.9 seconds.