The generator matrix

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

generates a code of length 62 over Z4 who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+56x^61+32x^62+31x^64+8x^69

The gray image is a code over GF(2) with n=124, k=7 and d=61.
This code was found by Heurico 1.10 in 0.046 seconds.