The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+51x^18+84x^19+130x^20+214x^21+240x^22+326x^23+369x^24+390x^25+456x^26+404x^27+379x^28+354x^29+264x^30+200x^31+102x^32+66x^33+41x^34+8x^35+11x^36+4x^38+2x^39

The gray image is a code over GF(2) with n=52, k=12 and d=18.
This code was found by Heurico 1.10 in 0.219 seconds.