Prime p₀= 1585272202354109219 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: crashtech
db: batch=78, k=10, 2 16 2 10 2

SPT(16)	1585270946277678977	0 14 72 92 150 192 234 252 254 272 314 356 414 434 492 506	-1256076430242
SPT(18)	1585271149333124423	0 48 60 78 86 104 146 156 170 174 188 198 240 258 266 284 296 344	-1053020984796
SPT(16)	1585271240611428043	0 34 46 48 58 108 136 144 160 168 196 246 256 258 270 304	-961742681176
STPT(10)	1585271799878727869	0 2 18 20 30 32 42 44 60 62	-402475381350
STPT(10)	1585271803045903781	0 2 6 8 48 50 90 92 96 98	-399308205438
STPT(10)	1585271827925368379	0 2 18 20 30 32 42 44 60 62	-374428740840
STPT(10)	1585272218388233831	0 2 30 32 78 80 126 128 156 158	16034124612
STPT(10)	1585272379871314877	0 2 30 32 42 44 54 56 84 86	177517205658
STPT(10)	1585272701157548279	0 2 30 32 60 62 90 92 120 122	498803439060
TPT(16)	1585272734049822887	0 2 12 14 42 44 60 62 102 104 192 194 222 224 240 242	531695713668
STPT(10)	1585272805674997457	0 2 12 14 72 74 132 134 144 146	603320888238