The generator matrix

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

generates a code of length 66 over Z4 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+26x^53+137x^54+260x^55+370x^56+438x^57+519x^58+580x^59+731x^60+826x^61+841x^62+958x^63+1029x^64+980x^65+966x^66+1028x^67+998x^68+1006x^69+887x^70+824x^71+734x^72+622x^73+475x^74+356x^75+311x^76+174x^77+127x^78+86x^79+50x^80+24x^81+15x^82+4x^83+1x^114

The gray image is a code over GF(2) with n=132, k=14 and d=53.
This code was found by Heurico 1.10 in 14.1 seconds.