The generator matrix

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

generates a code of length 30 over Z4 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+61x^22+165x^24+249x^26+354x^28+399x^30+349x^32+266x^34+132x^36+43x^38+21x^40+5x^42+2x^44+1x^46

The gray image is a code over GF(2) with n=60, k=11 and d=22.
This code was found by Heurico 1.16 in 0.962 seconds.