The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  0  2  1  1  2  1  1
 0  2  0  0  0  0  0  0  0  0  2  2  0  0  0  2  0  0  2  2  2  0  2  2  2  0
 0  0  2  0  0  0  0  0  0  2  2  2  0  2  2  0  0  2  2  0  2  0  0  2  2  2
 0  0  0  2  0  0  0  0  0  2  0  2  2  2  0  2  2  2  0  0  0  0  2  0  2  0
 0  0  0  0  2  0  0  0  2  0  0  2  2  0  2  2  0  2  0  2  0  2  0  2  0  0
 0  0  0  0  0  2  0  0  2  0  2  0  0  2  2  2  2  2  0  0  2  2  2  2  2  2
 0  0  0  0  0  0  2  0  2  2  2  0  0  0  2  2  2  2  2  2  0  0  0  0  0  0
 0  0  0  0  0  0  0  2  2  2  0  0  2  2  2  0  2  0  2  0  2  0  2  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+58x^20+32x^22+146x^24+64x^26+120x^28+32x^30+43x^32+14x^36+2x^40

The gray image is a code over GF(2) with n=52, k=9 and d=20.
This code was found by Heurico 1.16 in 0.0431 seconds.