The generator matrix

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

generates a code of length 60 over Z4 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+63x^50+98x^51+159x^52+186x^53+209x^54+230x^55+260x^56+282x^57+243x^58+268x^59+244x^60+242x^61+238x^62+262x^63+198x^64+210x^65+196x^66+116x^67+129x^68+92x^69+55x^70+44x^71+28x^72+12x^73+17x^74+6x^75+4x^76+2x^78+1x^80+1x^82

The gray image is a code over GF(2) with n=120, k=12 and d=50.
This code was found by Heurico 1.16 in 2.14 seconds.