The generator matrix

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

generates a code of length 30 over Z4 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+44x^24+82x^25+75x^26+96x^27+98x^28+118x^29+98x^30+52x^31+81x^32+78x^33+60x^34+40x^35+30x^36+42x^37+22x^38+4x^39+2x^40+1x^42

The gray image is a code over GF(2) with n=60, k=10 and d=24.
This code was found by Heurico 1.16 in 0.05 seconds.