The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+67x^18+88x^19+164x^20+196x^21+250x^22+294x^23+356x^24+440x^25+381x^26+432x^27+340x^28+340x^29+274x^30+192x^31+147x^32+48x^33+47x^34+16x^35+16x^36+4x^38+2x^39+1x^42

The gray image is a code over GF(2) with n=52, k=12 and d=18.
This code was found by Heurico 1.16 in 0.543 seconds.