The generator matrix

 1  0  0  1  1  1  2  0  1  1  1  2  0  1  1  1  1  1  0  2  0  2  1  1  1
 0  1  0  1  0  1  1  1  0  3  2  1  2  3  1  1  3  2  1  1  2  1  3  1  0
 0  0  1  1  1  0  1  2  0  0  3  2  1  2  3  1  1  0  1  1  1  2  1  3  0
 0  0  0  2  0  0  0  2  2  0  0  0  2  2  2  2  0  2  2  2  0  2  2  0  0
 0  0  0  0  2  0  0  2  2  2  0  2  0  2  2  0  0  2  2  0  2  0  0  0  0
 0  0  0  0  0  2  0  0  0  2  0  0  0  2  0  2  2  2  2  0  2  2  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+40x^20+54x^21+56x^22+50x^23+36x^24+64x^25+46x^26+36x^27+32x^28+38x^29+22x^30+10x^31+19x^32+4x^33+2x^34+2x^38

The gray image is a code over GF(2) with n=50, k=9 and d=20.
This code was found by Heurico 1.16 in 0.0123 seconds.