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

generates a code of length 63 over Z4 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+31x^62+64x^63+31x^64+1x^126

The gray image is a code over GF(2) with n=126, k=7 and d=62.
This code was found by Heurico 1.16 in 0.0404 seconds.