The generator matrix

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

generates a code of length 67 over Z4 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+199x^60+285x^64+217x^68+247x^72+53x^76+9x^80+7x^84+1x^88+4x^92+1x^96

The gray image is a code over GF(2) with n=134, k=10 and d=60.
This code was found by Heurico 1.16 in 4.78 seconds.