The generator matrix

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

generates a code of length 60 over Z4 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+182x^48+610x^50+1045x^52+1420x^54+1812x^56+1938x^58+2235x^60+2094x^62+1908x^64+1436x^66+913x^68+526x^70+208x^72+40x^74+15x^76+1x^112

The gray image is a code over GF(2) with n=120, k=14 and d=48.
This code was found by Heurico 1.16 in 64.9 seconds.