The generator matrix

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

generates a code of length 25 over Z4 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+148x^20+178x^22+200x^24+190x^26+176x^28+78x^30+47x^32+2x^34+4x^36

The gray image is a code over GF(2) with n=50, k=10 and d=20.
This code was found by Heurico 1.16 in 0.092 seconds.