The generator matrix

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

generates a code of length 31 over Z4 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+280x^22+845x^24+1544x^26+2346x^28+3008x^30+3319x^32+2508x^34+1572x^36+660x^38+225x^40+60x^42+10x^44+4x^46+2x^48

The gray image is a code over GF(2) with n=62, k=14 and d=22.
This code was found by Heurico 1.16 in 27.4 seconds.