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
0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 0 0 2X 2X 0 0 0 2X 2X 0 2X 2X 2X 2X 2X 2X 0 2X 2X 2X 0 2X 2X 2X 2X 2X 0 2X 2X 2X 0 0 2X 0 2X 0 2X 0 2X 2X 2X 2X
0 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 0 2X 2X 0 0 2X 2X 2X 0 0 2X 0 0 2X 2X 2X 2X 2X 2X 2X 0 2X 2X 2X 0 2X 2X 2X 0 2X 0 2X 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 0
0 0 0 2X 0 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 0 2X 2X 0 2X 2X 0 2X 2X 0 0 0 0 2X 0 0 0 0 2X 2X 2X 2X 2X 2X 0 0 0 2X 0 0 2X 2X 0 0 0 2X 2X 2X 2X
0 0 0 0 2X 0 0 0 2X 2X 2X 2X 2X 0 2X 2X 0 0 0 0 0 0 0 0 0 0 0 2X 0 0 2X 0 0 0 2X 2X 2X 0 2X 2X 2X 2X 0 2X 2X 0 2X 2X 2X 2X 2X 2X 0 2X 2X 2X 0 2X 2X 0 0 0
0 0 0 0 0 2X 0 2X 2X 2X 0 0 0 0 2X 2X 2X 2X 0 0 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 0 0 2X 2X 2X 2X 0 2X 0 2X 0 0 0 2X 2X 0 0 2X 0 0 2X 0 0 2X 2X 2X 2X 2X 0 2X
0 0 0 0 0 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 0 2X 0 0 2X 2X 2X 2X 2X 0 0 0 2X 2X 2X 0 0 2X 0 2X 0 2X 2X 2X 0 2X 2X 2X 0 2X 2X 0 0 0 0 2X 2X 2X 2X 2X 0 0 0 0 0 2X
generates a code of length 62 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 60.
Homogenous weight enumerator: w(x)=1x^0+63x^60+896x^62+63x^64+1x^124
The gray image is a code over GF(2) with n=496, k=10 and d=240.
This code was found by Heurico 1.16 in 112 seconds.