The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  2  1  1  2  1
 0  2  0  0  0  0  0  0  0  0  2  2  0  0  0  2  0  0  0  0  2  2  2  2  2  2  0  2  2  0
 0  0  2  0  0  0  0  0  0  2  2  2  0  2  2  0  0  0  2  2  2  2  2  2  0  2  2  0  0  0
 0  0  0  2  0  0  0  0  0  2  0  2  2  2  0  2  0  2  2  0  0  0  0  0  2  2  0  2  0  2
 0  0  0  0  2  0  0  0  2  0  0  2  2  0  2  2  0  0  2  2  0  0  0  2  0  2  0  2  2  0
 0  0  0  0  0  2  0  0  2  0  2  0  0  2  2  2  0  2  2  0  0  0  2  2  2  2  2  0  2  0
 0  0  0  0  0  0  2  0  2  2  2  0  0  0  2  2  2  0  0  2  0  0  2  0  2  0  0  2  0  2
 0  0  0  0  0  0  0  2  2  2  0  0  2  2  2  0  2  0  2  0  0  2  0  0  0  2  2  0  2  0

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

Homogenous weight enumerator: w(x)=1x^0+71x^24+32x^26+64x^28+192x^30+49x^32+32x^34+61x^36+7x^40+2x^44+1x^52

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 0.147 seconds.