The generator matrix

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

generates a code of length 56 over Z4 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+36x^49+81x^50+82x^51+96x^52+86x^53+75x^54+90x^55+78x^56+60x^57+49x^58+56x^59+37x^60+44x^61+29x^62+12x^63+32x^64+24x^65+18x^66+14x^67+7x^68+6x^69+4x^70+2x^71+5x^72

The gray image is a code over GF(2) with n=112, k=10 and d=49.
This code was found by Heurico 1.16 in 2.81 seconds.