The generator matrix

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

generates a code of length 25 over Z4 who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+48x^23+28x^24+32x^26+16x^31+3x^32

The gray image is a code over GF(2) with n=50, k=7 and d=23.
This code was found by Heurico 1.10 in 34.7 seconds.