The generator matrix

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

generates a code of length 57 over Z4 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+72x^49+130x^50+136x^51+111x^52+154x^53+185x^54+118x^55+127x^56+130x^57+153x^58+108x^59+65x^60+80x^61+107x^62+124x^63+52x^64+60x^65+49x^66+20x^67+28x^68+14x^69+16x^70+6x^71+2x^73

The gray image is a code over GF(2) with n=114, k=11 and d=49.
This code was found by Heurico 1.10 in 1.47 seconds.