The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+51x^50+84x^51+144x^52+230x^53+241x^54+218x^55+241x^56+258x^57+259x^58+282x^59+259x^60+252x^61+219x^62+244x^63+240x^64+180x^65+162x^66+136x^67+101x^68+94x^69+72x^70+50x^71+34x^72+10x^73+20x^74+10x^75+4x^76

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 1.95 seconds.