The generator matrix

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

generates a code of length 31 over Z4 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+172x^26+187x^28+216x^30+122x^32+152x^34+89x^36+64x^38+17x^40+4x^42

The gray image is a code over GF(2) with n=62, k=10 and d=26.
This code was found by an older version of Heurico in 0 seconds.