The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+62x^22+116x^23+178x^24+204x^25+250x^26+344x^27+329x^28+312x^29+376x^30+464x^31+379x^32+304x^33+272x^34+200x^35+126x^36+72x^37+58x^38+28x^39+10x^40+4x^41+6x^42+1x^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 0.718 seconds.