The generator matrix

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

generates a code of length 33 over Z4 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+29x^20+121x^22+339x^24+669x^26+1486x^28+2463x^30+3055x^32+3158x^34+2409x^36+1476x^38+735x^40+281x^42+124x^44+19x^46+14x^48+4x^50+1x^54

The gray image is a code over GF(2) with n=66, k=14 and d=20.
This code was found by Heurico 1.16 in 9.84 seconds.