The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+47x^18+92x^19+150x^20+182x^21+226x^22+314x^23+392x^24+426x^25+432x^26+426x^27+347x^28+366x^29+286x^30+174x^31+117x^32+46x^33+33x^34+18x^35+14x^36+4x^37+2x^40+1x^44

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.