The generator matrix

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

generates a code of length 27 over Z4 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+41x^18+80x^19+185x^20+258x^21+422x^22+506x^23+624x^24+752x^25+710x^26+888x^27+836x^28+780x^29+718x^30+516x^31+349x^32+240x^33+143x^34+56x^35+51x^36+18x^37+12x^38+2x^39+2x^40+2x^42

The gray image is a code over GF(2) with n=54, k=13 and d=18.
This code was found by Heurico 1.16 in 2.34 seconds.