The generator matrix

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

generates a code of length 66 over Z4 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+92x^52+192x^53+354x^54+414x^55+602x^56+810x^57+940x^58+1164x^59+1296x^60+1572x^61+1720x^62+1880x^63+2012x^64+2132x^65+2202x^66+2220x^67+2137x^68+1830x^69+1764x^70+1726x^71+1438x^72+1118x^73+894x^74+716x^75+502x^76+340x^77+262x^78+172x^79+99x^80+68x^81+52x^82+28x^83+11x^84+2x^85+4x^86+2x^92

The gray image is a code over GF(2) with n=132, k=15 and d=52.
This code was found by Heurico 1.10 in 53 seconds.