Prime p₀= 2066125943790280217 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Cruncher Pete
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2066124500072828207	0 26 36 90 126 140 174 204 242 272 306 320 356 410 420 446	-1443717452010
STPT(12)	2066124646090386461	0 2 30 32 108 110 270 272 348 350 378 380	-1297699893756
SPT(16)	2066124885559570337	0 20 32 36 104 176 216 222 314 320 360 432 500 504 516 536	-1058230709880
SPT(16)	2066125350986719699	0 10 18 40 42 112 130 160 222 252 270 340 342 364 372 382	-592803560518
SPT(16)	2066125516386205913	0 8 36 66 78 90 108 188 246 326 344 356 368 398 426 434	-427404074304
SPT(16)	2066125640161998269	0 50 74 114 152 162 182 194 228 240 260 270 308 348 372 422	-303628281948
STPT(10)	2066125970818547777	0 2 12 14 42 44 72 74 84 86	27028267560
SPT(16)	2066126374225708507	0 40 52 60 76 102 136 172 180 216 250 276 292 300 312 352	430435428290
SPT(16)	2066126603493737527	0 10 40 70 166 172 190 196 246 252 270 276 372 402 432 442	659703457310
STPT(10)	2066126669004267941	0 2 30 32 78 80 126 128 156 158	725213987724
STPT(10)	2066127322194122531	0 2 36 38 78 80 120 122 156 158	1378403842314