The generator matrix

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

generates a code of length 25 over Z4 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+56x^18+74x^19+129x^20+140x^21+135x^22+192x^23+181x^24+224x^25+201x^26+184x^27+159x^28+140x^29+107x^30+56x^31+38x^32+8x^33+11x^34+6x^35+4x^36+2x^38

The gray image is a code over GF(2) with n=50, k=11 and d=18.
This code was found by Heurico 1.16 in 0.133 seconds.