The generator matrix

 1  0  0  0  1  1  1  2  0  1  1  1  1  0  2  0  1  2  0  1  2  0  1  1  1  2  0  1  0  1  0  2  1  1  1  1  0  1  1  2  1  0  1  0  2  1  1  1  1  1  1  1  1  1  0  0  2
 0  1  0  0  0  0  0  0  1  1  3  1  3  1  2  1  2  2  1  3  1  1  0  1  3  1  0  3  1  2  1  0  3  1  3  2  0  1  2  0  3  1  1  1  2  0  2  2  2  1  0  1  1  1  1  1  2
 0  0  1  0  0  1  1  1  2  1  1  0  0  1  1  3  0  1  2  0  0  1  3  2  3  1  0  1  2  1  0  2  1  2  3  0  2  1  1  0  2  2  0  1  1  1  3  2  1  2  2  0  0  1  1  2  2
 0  0  0  1  1  1  0  1  1  2  3  3  2  3  1  0  1  0  3  1  0  3  1  2  0  2  1  3  2  0  3  1  1  1  0  3  1  1  0  1  2  0  3  3  0  2  2  2  1  3  1  1  3  2  2  3  1
 0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  2  0  2  0  2  0  0  2  0  2  2  2  0  2  0  0  2  2  0  2  2  2  2  0  0  2  0  2  0  2  2  2  2  0  0  2  2  2  0  0  2  2
 0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  0  0  0  2  2  2  0  2  0  2  2  2  2  2  2  2  2  0  2  0  2  0  2  2  2  0  0  2  2  2  2  0  2  0  2  0  2  0  2  0  2  0
 0  0  0  0  0  0  2  0  0  0  0  2  0  0  0  0  2  2  2  2  0  2  2  2  0  2  0  2  2  2  0  2  2  0  0  0  0  2  0  0  0  2  2  0  2  2  0  2  2  0  2  0  2  0  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+78x^49+136x^50+116x^51+121x^52+136x^53+172x^54+166x^55+107x^56+130x^57+135x^58+106x^59+89x^60+96x^61+132x^62+82x^63+59x^64+54x^65+46x^66+34x^67+5x^68+16x^69+16x^70+8x^71+1x^72+2x^73+3x^74+1x^76

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 9.42 seconds.