The generator matrix

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

generates a code of length 55 over Z4 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+102x^50+79x^52+128x^54+76x^56+37x^58+29x^60+29x^62+6x^64+17x^66+3x^70+1x^72+4x^78

The gray image is a code over GF(2) with n=110, k=9 and d=50.
This code was found by Heurico 1.16 in 2.44 seconds.