The generator matrix

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

generates a code of length 28 over Z4 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+50x^24+56x^26+75x^28+24x^30+22x^32+16x^34+9x^36+3x^40

The gray image is a code over GF(2) with n=56, k=8 and d=24.
This code was found by Heurico 1.16 in 0.00621 seconds.