Prime p₀= 2191046573338035599 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: Penguin
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2191044834211653419	0 2 18 20 30 32 42 44 60 62	-1739126382180
SPT(16)	2191045126655499941	0 26 32 92 116 140 260 270 302 312 432 456 480 540 546 572	-1446682535658
SPT(16)	2191045146013478479	0 22 40 84 112 130 148 168 184 204 222 240 268 312 330 352	-1427324557120
STPT(10)	2191045263455092997	0 2 30 32 42 44 54 56 84 86	-1309882942602
SPT(16)	2191045832531181331	0 12 28 40 90 96 112 142 156 186 202 208 258 270 286 298	-740806854268
SPT(16)	2191046432349005767	0 22 34 46 60 72 84 100 186 202 214 226 240 252 264 286	-140989029832
STPT(10)	2191046888141272277	0 2 30 32 42 44 54 56 84 86	314803236678
SPT(16)	2191047246568874731	0 36 70 76 88 118 120 168 178 226 228 258 270 276 310 346	673230839132
SPT(16)	2191047356984103857	0 30 42 44 72 116 122 126 140 144 150 194 222 224 236 266	783646068258
SPT(16)	2191047634741621307	0 12 14 36 42 80 86 114 122 150 156 194 200 222 224 236	1061403585708
SPT(16)	2191048265123590547	0 12 20 26 30 86 96 122 240 266 276 332 336 342 350 362	1691785554948