The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+92x^22+371x^24+480x^26+692x^28+802x^30+719x^32+562x^34+243x^36+106x^38+21x^40+6x^42+1x^52

The gray image is a code over GF(2) with n=60, k=12 and d=22.
This code was found by Heurico 1.10 in 0.281 seconds.