The generator matrix

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

generates a code of length 57 over Z4 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+67x^50+205x^52+152x^54+147x^56+109x^58+126x^60+79x^62+65x^64+31x^66+21x^68+8x^70+11x^72+1x^74+1x^78

The gray image is a code over GF(2) with n=114, k=10 and d=50.
This code was found by Heurico 1.16 in 0.152 seconds.