The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  1  1  0  0  1  1  0  1  0  0  0  1  1  1  1  2  1  0  1
 0  1  1  0  1  1  0  1  1  0  1  1  0  2  3  1  1  1  0  3  1  0  1  1  1  3  3  0  3  0  0  1  0
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  0  2  2  0  2  2  2  0  0  0  0  0  2  0  0
 0  0  0  2  0  0  0  0  0  0  0  0  0  2  0  0  2  2  2  0  0  2  2  2  0  0  0  0  0  2  0  2  2
 0  0  0  0  2  0  0  0  0  0  0  0  0  0  2  0  0  0  2  2  2  0  0  2  2  2  2  0  0  2  0  2  2
 0  0  0  0  0  2  0  0  0  0  0  0  0  0  2  2  0  2  0  2  0  2  0  0  2  2  0  2  2  0  0  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  0  2  2  2  0  0  2  0  2  2  2  2  0  2  0  2  0
 0  0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  2  2  0  2  2  2  0  2  0  0  0  2  2  2  0  0
 0  0  0  0  0  0  0  0  2  0  0  0  2  2  2  2  0  2  2  0  0  0  0  2  2  2  2  0  2  0  0  2  0
 0  0  0  0  0  0  0  0  0  2  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2
 0  0  0  0  0  0  0  0  0  0  2  0  2  2  2  0  2  2  0  2  0  0  0  2  0  2  0  0  0  0  2  0  2
 0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  0  2  2  0  0  0  0  2  0  2  0  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+47x^20+123x^22+26x^23+233x^24+134x^25+407x^26+454x^27+689x^28+970x^29+1043x^30+1540x^31+1462x^32+1916x^33+1591x^34+1612x^35+1155x^36+916x^37+713x^38+450x^39+387x^40+158x^41+173x^42+14x^43+91x^44+2x^45+41x^46+29x^48+5x^50+2x^52

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 12.1 seconds.