The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+88x^50+134x^52+78x^54+69x^56+48x^58+41x^60+16x^62+16x^64+4x^66+9x^68+2x^70+2x^72+4x^74

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 0.0801 seconds.