The generator matrix

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

generates a code of length 55 over Z4 who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+88x^43+193x^44+242x^45+390x^46+448x^47+527x^48+712x^49+838x^50+892x^51+1028x^52+1084x^53+1132x^54+1128x^55+1165x^56+1180x^57+983x^58+1004x^59+839x^60+710x^61+566x^62+444x^63+288x^64+156x^65+161x^66+80x^67+51x^68+12x^69+24x^70+12x^71+3x^72+1x^74+1x^82+1x^84

The gray image is a code over GF(2) with n=110, k=14 and d=43.
This code was found by Heurico 1.16 in 54.9 seconds.