The generator matrix

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

generates a code of length 62 over Z4 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+51x^46+4x^47+119x^48+62x^49+203x^50+142x^51+306x^52+258x^53+391x^54+496x^55+567x^56+752x^57+849x^58+1048x^59+1030x^60+1312x^61+1114x^62+1310x^63+1083x^64+1086x^65+845x^66+782x^67+615x^68+498x^69+412x^70+268x^71+256x^72+116x^73+167x^74+44x^75+90x^76+12x^77+47x^78+2x^79+21x^80+16x^82+6x^84+1x^86+1x^88+1x^100

The gray image is a code over GF(2) with n=124, k=14 and d=46.
This code was found by Heurico 1.16 in 51.5 seconds.