The generator matrix

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

generates a code of length 60 over Z4 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+34x^57+68x^58+54x^59+24x^60+24x^61+16x^62+8x^63+7x^64+4x^66+6x^73+8x^74+2x^75

The gray image is a code over GF(2) with n=120, k=8 and d=57.
This code was found by Heurico 1.16 in 27.3 seconds.