The generator matrix

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

generates a code of length 66 over Z4 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+23x^50+142x^51+264x^52+476x^53+683x^54+906x^55+1188x^56+1436x^57+1797x^58+2240x^59+2508x^60+2932x^61+3546x^62+3768x^63+4073x^64+4326x^65+4412x^66+4354x^67+4199x^68+4106x^69+3659x^70+3082x^71+2685x^72+2214x^73+1791x^74+1448x^75+1026x^76+748x^77+504x^78+384x^79+265x^80+118x^81+87x^82+56x^83+43x^84+26x^85+8x^86+4x^87+3x^88+2x^89+2x^90+1x^96

The gray image is a code over GF(2) with n=132, k=16 and d=50.
This code was found by Heurico 1.10 in 415 seconds.