Prime p₀= 2625172599959866667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Dirk Broer
db: batch=82, k=10, 2 58 2 10 2

STPT(10)	2625170539603596041	0 2 30 32 78 80 126 128 156 158	-2060356270626
STPT(10)	2625170963410510181	0 2 6 8 18 20 30 32 36 38	-1636549356486
TPT(14)	2625171081028825661	0 2 96 98 120 122 126 128 138 140 210 212 258 260	-1518931041006
SPT(16)	2625172240184849569	0 4 18 30 42 58 118 142 240 264 324 340 352 364 378 382	-359775017098
STPT(10)	2625172294212847241	0 2 36 38 78 80 120 122 156 158	-305747019426
SPT(16)	2625172529093133421	0 12 30 52 70 72 162 180 220 238 328 330 348 370 388 400	-70866733246
STPT(10)	2625172667794986887	0 2 30 32 42 44 54 56 84 86	67835120220
SPT(16)	2625172723765094411	0 2 18 30 102 110 132 150 188 206 228 236 308 320 336 338	123805227744
SPT(16)	2625172971655558531	0 76 96 100 130 132 162 166 246 250 280 282 312 316 336 412	371695691864
STPT(10)	2625173976684137687	0 2 12 14 42 44 72 74 84 86	1376724271020
SPT(16)	2625174877867771007	0 30 80 104 122 146 216 252 254 290 360 384 402 426 476 506	2277907904340