The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+41x^50+66x^51+83x^52+118x^53+77x^54+84x^55+87x^56+56x^57+64x^58+64x^59+42x^60+46x^61+44x^62+22x^63+29x^64+20x^65+23x^66+18x^67+11x^68+8x^69+7x^70+2x^71+3x^72+8x^73

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 0.141 seconds.