The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+20x^24+18x^26+24x^28+96x^29+16x^30+11x^32+32x^33+14x^34+8x^36+15x^38+1x^54

The gray image is a code over GF(2) with n=60, k=8 and d=24.
This code was found by Heurico 1.16 in 0.00824 seconds.