Prime p₀= 2664698736683775689 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

TPT(14)	2664697712391526541	0 2 90 92 120 122 156 158 228 230 240 242 270 272	-1024292249148
SPT(16)	2664697866633451631	0 8 20 36 72 132 138 140 168 170 176 236 272 288 300 308	-870050324058
SPT(16)	2664697893539370487	0 52 64 100 102 156 220 264 322 366 430 484 486 522 534 586	-843144405202
SPT(16)	2664698361595507889	0 38 60 78 92 200 204 224 348 368 372 480 494 512 534 572	-375088267800
SPT(16)	2664698548491136693	0 18 48 76 78 90 106 130 186 210 226 238 240 268 298 316	-188192638996
SPT(16)	2664698695841044829	0 24 32 98 110 114 128 170 192 234 248 252 264 330 338 362	-40842730860
SPT(16)	2664698852638544131	0 72 90 126 130 138 156 160 168 172 190 198 202 238 256 328	115954768442
STPT(10)	2664699073153454789	0 2 48 50 90 92 132 134 180 182	336469679100
SPT(16)	2664699102850706941	0 6 22 90 118 160 196 246 262 312 348 390 418 486 502 508	366166931252
SPT(16)	2664699424480696139	0 8 38 60 140 144 150 162 350 362 368 372 452 474 504 512	687796920450
STPT(10)	2664699542926981499	0 2 18 20 30 32 42 44 60 62	806243205810