The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+33x^18+66x^20+16x^21+64x^22+80x^23+64x^24+160x^25+67x^26+160x^27+64x^28+80x^29+60x^30+16x^31+47x^32+27x^34+14x^36+4x^38+1x^42

The gray image is a code over GF(2) with n=52, k=10 and d=18.
This code was found by Heurico 1.16 in 1.62 seconds.