Prime p₀= 1000970403546643499 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: HenkM
db: batch=76, k=10, 2 10 2 16 2

STPT(12)	1000969147141814687	0 2 12 14 42 44 102 104 132 134 144 146	-1256404828812
SPT(16)	1000969170520636391	0 2 12 48 60 90 126 158 240 272 308 338 350 386 396 398	-1233026007108
TPT(14)	1000969611542970449	0 2 42 44 48 50 90 92 240 242 252 254 420 422	-792003673050
SPT(16)	1000969667834434183	0 58 70 78 120 156 208 216 238 246 298 334 376 384 396 454	-735712209316
STPT(10)	1000969751338873427	0 2 42 44 72 74 102 104 144 146	-652207770072
SPT(16)	1000970092878754631	0 2 8 12 36 42 86 96 122 132 176 182 206 210 216 218	-310667888868
SPT(16)	1000970671788851993	0 78 80 116 120 168 204 230 264 290 326 374 378 414 416 494	268242208494
STPT(10)	1000970909827163447	0 2 30 32 42 44 54 56 84 86	506280519948
TPT(14)	1000971300698430977	0 2 12 14 24 26 42 44 54 56 102 104 114 116	897151787478
SPT(16)	1000971315128182129	0 30 40 54 58 78 84 154 174 244 250 270 274 288 298 328	911581538630
TPT(14)	1000971418187042669	0 2 48 50 90 92 180 182 210 212 288 290 342 344	1014640399170