The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+60x^22+108x^23+231x^24+368x^25+423x^26+468x^27+543x^28+694x^29+734x^30+776x^31+812x^32+770x^33+644x^34+524x^35+409x^36+250x^37+169x^38+100x^39+48x^40+30x^41+16x^42+8x^43+4x^44+1x^46+1x^50

The gray image is a code over GF(2) with n=62, k=13 and d=22.
This code was found by Heurico 1.10 in 1.26 seconds.