The generator matrix

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

generates a code of length 26 over Z4 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+14x^24+32x^26+14x^28+1x^32+2x^36

The gray image is a code over GF(2) with n=52, k=6 and d=24.
This code was found by Heurico 1.16 in 0.00181 seconds.