The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+42x^24+32x^25+28x^26+32x^27+44x^28+64x^29+36x^30+64x^31+35x^32+32x^33+44x^34+32x^35+4x^36+12x^38+2x^40+8x^42

The gray image is a code over GF(2) with n=60, k=9 and d=24.
This code was found by Heurico 1.16 in 0.0182 seconds.