The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  2  0  0  0  0  0  0  0  0  0  2  0  0  2  2  0  0  2  2  0  0  2  2  0  2  2  0  2  2  0  2  0  2  0  0  2  2  0  0  2  2  2  0  0  2  0  2  2  0  2  0  2  0  2
 0  0  2  0  0  0  0  0  0  0  0  2  0  2  2  0  0  2  2  0  2  0  2  0  2  0  2  2  2  0  2  0  0  2  2  2  2  0  0  2  2  2  0  0  0  0  2  2  2  2  0  2  2  2  2
 0  0  0  2  0  0  0  0  0  0  0  2  2  0  2  0  2  0  2  0  0  2  0  2  2  2  0  2  2  0  0  0  2  2  2  0  0  2  2  2  0  2  2  2  2  2  2  2  2  2  0  2  0  2  0
 0  0  0  0  2  0  0  0  2  2  2  0  2  2  2  2  2  2  2  2  2  2  0  2  0  2  0  2  0  0  2  2  2  0  2  0  2  0  0  0  2  0  0  0  0  0  2  2  2  0  0  0  0  2  0
 0  0  0  0  0  2  0  2  2  2  0  0  0  0  0  0  0  2  2  0  2  2  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  2  2  0  2  2  0  2  0  0  0  0  2  0  2  2  2  2  0
 0  0  0  0  0  0  2  2  0  2  2  0  0  0  0  0  2  2  0  2  0  2  0  0  2  2  2  0  0  2  2  2  0  2  2  0  0  0  0  0  2  2  2  2  2  0  0  2  2  2  0  0  2  2  0

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

Homogenous weight enumerator: w(x)=1x^0+17x^50+19x^52+27x^54+128x^55+27x^56+19x^58+17x^60+1x^110

The gray image is a code over GF(2) with n=110, k=8 and d=50.
This code was found by Heurico 1.16 in 0.0539 seconds.