The generator matrix

 1  0  0  0  1  1  1  0  1  2  0  1  1  1  1  1  2  1  0  0  1  1  2  1  0
 0  1  0  0  0  0  1  0  3  1  1  1  2  3  2  1  1  3  1  1  0  3  2  2  1
 0  0  1  0  0  1  1  1  1  0  3  2  3  2  1  1  1  3  1  0  0  0  0  1  1
 0  0  0  1  1  1  0  1  1  1  3  3  2  0  2  1  2  0  3  0  2  3  1  1  3
 0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2
 0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  0  0  0  0  2  2  2  0  2
 0  0  0  0  0  0  2  0  2  2  2  0  0  0  2  0  0  2  0  2  2  2  0  2  0
 0  0  0  0  0  0  0  2  2  2  0  0  2  2  2  2  0  2  2  0  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+161x^18+424x^20+624x^22+820x^24+856x^26+670x^28+382x^30+129x^32+23x^34+2x^36+2x^38+2x^40

The gray image is a code over GF(2) with n=50, k=12 and d=18.
This code was found by Heurico 1.16 in 14.8 seconds.