The generator matrix

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

generates a code of length 33 over Z4 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+65x^22+204x^24+366x^26+670x^28+1167x^30+1578x^32+1624x^34+1236x^36+703x^38+355x^40+150x^42+46x^44+17x^46+5x^48+4x^50+1x^56

The gray image is a code over GF(2) with n=66, k=13 and d=22.
This code was found by Heurico 1.16 in 4.87 seconds.