The generator matrix

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

generates a code of length 71 over Z4 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+251x^60+494x^62+761x^64+766x^66+952x^68+914x^70+954x^72+870x^74+888x^76+548x^78+417x^80+212x^82+114x^84+36x^86+10x^88+3x^92+1x^96

The gray image is a code over GF(2) with n=142, k=13 and d=60.
This code was found by Heurico 1.16 in 11.8 seconds.