The generator matrix

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

generates a code of length 53 over Z4 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+106x^50+49x^52+44x^54+4x^56+32x^58+6x^60+4x^62+3x^64+6x^66+1x^68

The gray image is a code over GF(2) with n=106, k=8 and d=50.
This code was found by Heurico 1.16 in 1.68 seconds.