The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+79x^20+255x^22+122x^23+562x^24+378x^25+1075x^26+970x^27+1599x^28+1930x^29+2117x^30+3060x^31+2503x^32+3572x^33+2452x^34+2852x^35+2141x^36+1956x^37+1705x^38+1106x^39+1054x^40+338x^41+496x^42+82x^43+245x^44+18x^45+83x^46+8x^48+8x^50+1x^58

The gray image is a code over GF(2) with n=66, k=15 and d=20.
This code was found by Heurico 1.16 in 35.1 seconds.