The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+69x^22+92x^23+173x^24+220x^25+269x^26+332x^27+328x^28+356x^29+374x^30+396x^31+345x^32+388x^33+254x^34+180x^35+156x^36+60x^37+53x^38+24x^39+17x^40+5x^42+4x^44

The gray image is a code over GF(2) with n=60, k=12 and d=22.
This code was found by Heurico 1.16 in 0.734 seconds.