The generator matrix

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

generates a code of length 25 over Z4 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+29x^22+37x^24+32x^26+24x^28+2x^30+1x^32+1x^38+1x^40

The gray image is a code over GF(2) with n=50, k=7 and d=22.
This code was found by Heurico 1.16 in 0.00373 seconds.