The generator matrix

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

generates a code of length 62 over Z4 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+24x^60+32x^61+16x^62+32x^63+7x^64+12x^66+4x^74

The gray image is a code over GF(2) with n=124, k=7 and d=60.
This code was found by Heurico 1.16 in 0.0361 seconds.