The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+82x^22+106x^23+233x^24+278x^25+432x^26+500x^27+592x^28+740x^29+682x^30+824x^31+735x^32+768x^33+620x^34+524x^35+428x^36+252x^37+210x^38+94x^39+54x^40+10x^41+20x^42+4x^44+2x^46+1x^56

The gray image is a code over GF(2) with n=62, k=13 and d=22.
This code was found by Heurico 1.16 in 3.09 seconds.