Prime p₀= 1267412701840904789 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: Megacruncher
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1267411150165539011	0 2 6 8 48 50 90 92 96 98	-1551675365778
SPT(16)	1267411417793490187	0 10 36 60 72 82 102 142 150 190 210 220 232 256 282 292	-1284047414602
STPT(10)	1267411665358837259	0 2 48 50 60 62 72 74 120 122	-1036482067530
STPT(10)	1267411917289756781	0 2 6 8 48 50 90 92 96 98	-784551148008
SPT(16)	1267412137563824471	0 42 90 98 120 140 182 240 260 318 360 380 402 410 458 500	-564277080318
STPT(10)	1267412543411234159	0 2 30 32 60 62 90 92 120 122	-158429670630
STPT(10)	1267412738003950127	0 2 72 74 102 104 132 134 204 206	36163045338
SPT(16)	1267412998730775053	0 56 66 86 104 108 146 164 180 198 236 240 258 278 288 344	296889870264
SPT(16)	1267413285510264709	0 12 18 60 144 148 174 180 322 328 354 358 442 484 490 502	583669359920
STPT(10)	1267413304147994789	0 2 78 80 120 122 162 164 240 242	602307090000
STPT(10)	1267413330963390431	0 2 6 8 18 20 30 32 36 38	629122485642