The generator matrix

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

generates a code of length 26 over Z4 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+52x^20+72x^21+79x^22+94x^23+78x^24+90x^25+111x^26+112x^27+62x^28+76x^29+77x^30+46x^31+25x^32+18x^33+21x^34+4x^35+6x^36

The gray image is a code over GF(2) with n=52, k=10 and d=20.
This code was found by Heurico 1.16 in 0.039 seconds.