The generator matrix

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

generates a code of length 64 over Z4 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+44x^54+134x^55+186x^56+184x^57+221x^58+226x^59+245x^60+268x^61+250x^62+264x^63+212x^64+232x^65+264x^66+244x^67+207x^68+184x^69+161x^70+154x^71+137x^72+68x^73+70x^74+50x^75+24x^76+20x^77+13x^78+16x^79+12x^80+4x^81+1x^82

The gray image is a code over GF(2) with n=128, k=12 and d=54.
This code was found by Heurico 1.16 in 2.16 seconds.