The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+103x^54+49x^56+61x^58+16x^62+13x^64+9x^70+1x^72+3x^74

The gray image is a code over GF(2) with n=114, k=8 and d=54.
This code was found by Heurico 1.16 in 0.429 seconds.