The generator matrix

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

generates a code of length 26 over Z4 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+209x^18+532x^20+1047x^22+1392x^24+1738x^26+1537x^28+1070x^30+471x^32+149x^34+34x^36+11x^38+1x^44

The gray image is a code over GF(2) with n=52, k=13 and d=18.
This code was found by Heurico 1.16 in 2.22 seconds.