Prime p₀= 782497729617092297 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: szymmirr
db: batch=73, k=10, 2 10 2 28 2

STPT(10)	782496631967330177	0 2 60 62 72 74 84 86 144 146	-1097649762120
SPT(16)	782496918755167211	0 8 26 66 68 96 98 180 248 330 332 360 362 402 420 428	-810861925086
STPT(10)	782496943834999829	0 2 18 20 60 62 102 104 120 122	-785782092468
SPT(16)	782496993639128431	0 66 70 76 108 118 136 138 250 252 270 280 312 318 322 388	-735977963866
SPT(16)	782497344954906307	0 16 30 42 84 100 112 160 216 264 276 292 334 346 360 376	-384662185990
SPT(16)	782497443762286211	0 12 32 36 66 78 86 108 170 192 200 212 242 246 266 278	-285854806086
SPT(16)	782497904028852059	0 32 44 54 68 90 102 104 138 140 152 174 188 198 210 242	174411759762
SPT(16)	782498142366068129	0 24 42 60 80 84 92 114 128 150 158 162 182 200 218 242	412748975832
STPT(10)	782498169259713029	0 2 12 14 30 32 48 50 60 62	439642620732
STPT(10)	782498523371745977	0 2 30 32 42 44 54 56 84 86	793754653680
SPT(16)	782498830351317413	0 6 48 66 80 116 126 138 146 158 168 204 218 236 278 284	1100734225116