The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+190x^46+540x^48+1042x^50+1289x^52+1842x^54+2127x^56+2350x^58+2068x^60+1922x^62+1396x^64+888x^66+449x^68+190x^70+62x^72+22x^74+2x^76+1x^80+2x^82+1x^88

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 59.9 seconds.