Prime p₀= 1004997374251254257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: stoneageman
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1004995373726010857	0 12 24 50 110 176 180 192 464 476 480 546 606 632 644 656	-2000525243400
STPT(10)	1004995751014619207	0 2 30 32 42 44 54 56 84 86	-1623236635050
SPT(16)	1004996052220967971	0 28 48 72 106 108 118 132 136 150 160 162 196 220 240 268	-1322030286286
SPT(16)	1004996387935395277	0 4 22 42 90 130 142 154 162 174 186 226 274 294 312 316	-986315858980
SPT(16)	1004996682416662489	0 4 30 58 78 88 108 112 180 184 204 214 234 262 288 292	-691834591768
SPT(16)	1004997090530149091	0 6 12 36 48 50 78 92 96 110 138 140 152 176 182 188	-283721105166
TPT(14)	1004997461433430277	0 2 114 116 150 152 204 206 234 236 282 284 372 374	87182176020
STPT(10)	1004997753421358309	0 2 18 20 30 32 42 44 60 62	379170104052
SPT(16)	1004997931463493727	0 6 64 102 114 132 160 240 256 336 364 382 394 432 490 496	557212239470
STPT(10)	1004998265700962747	0 2 30 32 42 44 54 56 84 86	891449708490
STPT(10)	1004998332505641317	0 2 30 32 42 44 54 56 84 86	958254387060