Prime p₀= 1267411917289756781 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Megacruncher
db: batch=77, k=10, 2 4 2 40 2

SPT(16)	1267410166667307869	0 38 42 50 68 138 188 218 222 252 302 372 390 398 402 440	-1750622448912
STPT(10)	1267410592391908247	0 2 90 92 132 134 174 176 264 266	-1324897848534
STPT(10)	1267411005078302171	0 2 6 8 48 50 90 92 96 98	-912211454610
STPT(10)	1267411150165539011	0 2 6 8 48 50 90 92 96 98	-767124217770
SPT(16)	1267411417793490187	0 10 36 60 72 82 102 142 150 190 210 220 232 256 282 292	-499496266594
STPT(10)	1267411665358837259	0 2 48 50 60 62 72 74 120 122	-251930919522
SPT(16)	1267412137563824471	0 42 90 98 120 140 182 240 260 318 360 380 402 410 458 500	220274067690
STPT(10)	1267412543411234159	0 2 30 32 60 62 90 92 120 122	626121477378
STPT(10)	1267412701840904789	0 2 18 20 30 32 42 44 60 62	784551148008
STPT(10)	1267412738003950127	0 2 72 74 102 104 132 134 204 206	820714193346
SPT(16)	1267412998730775053	0 56 66 86 104 108 146 164 180 198 236 240 258 278 288 344	1081441018272