The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+58x^49+128x^50+148x^51+136x^52+146x^53+152x^54+152x^55+141x^56+110x^57+114x^58+90x^59+124x^60+118x^61+87x^62+90x^63+51x^64+64x^65+45x^66+26x^67+24x^68+16x^69+17x^70+6x^71+3x^72+1x^74

The gray image is a code over GF(2) with n=114, k=11 and d=49.
This code was found by Heurico 1.16 in 0.55 seconds.