The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+101x^22+362x^24+488x^26+632x^28+864x^30+751x^32+504x^34+264x^36+90x^38+38x^40+1x^54

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 0.744 seconds.