The generator matrix

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

generates a code of length 57 over Z4 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+112x^54+22x^56+80x^58+16x^62+7x^64+8x^66+8x^70+2x^72

The gray image is a code over GF(2) with n=114, k=8 and d=54.
This code was found by Heurico 1.10 in 207 seconds.