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

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

Homogenous weight enumerator: w(x)=1x^0+72x^60+57x^62+219x^64+139x^66+278x^68+8x^69+220x^70+72x^71+308x^72+288x^73+282x^74+672x^75+321x^76+1008x^77+312x^78+1008x^79+311x^80+672x^81+332x^82+288x^83+257x^84+72x^85+306x^86+8x^87+159x^88+228x^90+91x^92+119x^94+25x^96+41x^98+5x^100+10x^102+1x^104+1x^106+1x^138

The gray image is a code over GF(2) with n=156, k=13 and d=60.
This code was found by Heurico 1.16 in 39.2 seconds.