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  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  2  2  2  2  2  2  1  2  1  1  1
 0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  0  2  2  0  2  2  2  0  2  2  2  2  0  2
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  2  0  0  0  0  2  2  2  0  2  0  0  0  0  2  2  2  2  0  2  2  0  2  0  2  2  0  0  2  2  2
 0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  0  0  2  2  0  2  2  2  2  2  0  2  2  2  2  0  2  0  2  2  2  2  0  2  0  0  0  2  0  0  0  0  2  2  2  2  0  2  2  2  2  2
 0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  0  0  0  2  0  2  2  2  2  0  0  2  0  2  0  2  2  0  2  2  0  0  0  2  2  2  0  2  0  2  0  0  2  0  0  0  2  2  0  0  0  2  2  2  2  0  2  2  0  2
 0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  0  2  2  2  0  2  2  0  2  2  2  2  2  2  0  2  2  0  0  0  0  0  2  2  0  0  2  0  0  0  0  0  0  2  2  0  2  2  2  2  2  2  0  2  0  2  2  2  0  0  0  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  2  0  0  2  2  2  2  2  2  0  2  2  2  0  2  0  0  0  0  0  2  2  0  2  2  2  2  0  0  0  2  2  2  0  2  2  0  2  2  0  2  2  2  0  2  0  0  0  0  0  2  2  0  2  0  2  0  2  0  2  2  0  0
 0  0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  0  2  2  0  2  2  0  2  0  2  0  0  2  2  0  2  0  2  2  2  2  0  2  0  2  2  2  0  2  2  0  0  0  0  2  0  0  2  0  2  2  0  0  2  0  0  0  0  2  0  2  0  2  0  2  2  0  2  0  2  2
 0  0  0  0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  2  2  2  2  0  2  2  0  0  0  0  0  2  2  2  2  0  0  0  2  2  0  0  0  2  0  2  2  0  0  0  0  0  2  2  2  0  0  0  2  2  2  0  2  2  0  2  0  2  2  0  0  2  0  0  2  2  0  2
 0  0  0  0  0  0  0  0  0  2  0  0  0  2  0  0  0  0  0  2  2  0  2  0  0  0  2  2  0  0  2  0  2  2  0  0  0  0  0  0  2  2  2  2  0  0  2  2  2  0  2  0  0  0  2  2  0  0  0  2  0  0  2  0  2  2  2  2  0  0  2  2  2  0  0  2  0  0
 0  0  0  0  0  0  0  0  0  0  2  0  0  2  0  0  0  0  2  0  0  2  0  2  0  0  2  2  2  0  0  2  2  0  0  2  0  2  2  0  2  0  0  0  2  0  0  0  2  0  0  0  2  2  2  0  0  2  2  2  0  2  0  2  0  2  0  2  2  0  2  2  2  0  2  2  2  2
 0  0  0  0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  2  0  0  0  2  0  0  2  2  0  0  0  2  2  0  0  0  2  0  2  2  2  0  2  0  2  2  2  2  0  0  2  0  2  2  0  0  2  0  0  0  2  2  2  2  2  0  2  0  2  0  0  2  2  0  0  0  2  0  2
 0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  0  0  2  2  2  2  2  0  2  0  2  0  0  0  0  0  2  2  0  0  2  0  2  2  0  2  0  2  0  0  0  0  0  2  0  2  0  0  2  0  2  0  0  0  0  2  2  2  0  0  0  0  2  2  2  0  2  2  0  0

generates a code of length 78 over Z4 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+184x^60+600x^64+915x^68+80x^70+1457x^72+960x^74+2945x^76+2016x^78+3013x^80+960x^82+1567x^84+80x^86+887x^88+491x^92+174x^96+42x^100+11x^104+1x^136

The gray image is a code over GF(2) with n=156, k=14 and d=60.
This code was found by Heurico 1.16 in 77.9 seconds.