The generator matrix

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

generates a code of length 31 over Z4 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+3x^32+8x^33+4x^34

The gray image is a code over GF(2) with n=62, k=4 and d=32.
This code was found by Heurico 1.16 in 0.00365 seconds.