The generator matrix

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

generates a code of length 55 over Z4 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+129x^48+98x^50+192x^52+98x^54+151x^56+118x^58+128x^60+70x^62+20x^64+6x^68+11x^72+2x^76

The gray image is a code over GF(2) with n=110, k=10 and d=48.
This code was found by Heurico 1.16 in 0.165 seconds.