The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  2  0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  0  0  0  2  2  0  0  2  2  0  0  2  2  2
 0  0  2  0  0  0  2  2  2  2  2  0  2  2  0  0  0  0  0  2  2  0  0  2  2  0  2  2  2  2  0
 0  0  0  2  0  2  2  2  0  0  0  0  2  2  2  2  0  0  2  2  0  0  2  2  2  2  0  0  0  2  2
 0  0  0  0  2  2  0  2  2  0  2  2  2  0  0  2  0  2  2  0  0  0  0  2  2  0  2  0  2  0  2

generates a code of length 31 over Z4 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+15x^30+32x^31+15x^32+1x^62

The gray image is a code over GF(2) with n=62, k=6 and d=30.
This code was found by Heurico 1.16 in 0.00495 seconds.