The generator matrix

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

generates a code of length 25 over Z4 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+352x^16+1146x^18+2758x^20+4908x^22+7112x^24+7208x^26+5264x^28+2572x^30+1095x^32+286x^34+58x^36+8x^38

The gray image is a code over GF(2) with n=50, k=15 and d=16.
This code was found by Heurico 1.16 in 34.6 seconds.