Prime p₀= 2111888166244278137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 28 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 132 134 204 206
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: 206
Found by: Euphoriabuzz
db: batch=80, k=10, 2 70 2 28 2

SPT(16)	2111887383163104853	0 34 36 66 70 94 150 154 186 190 246 270 274 304 306 340	-783081173284
SPT(16)	2111887472248961977	0 22 30 40 76 82 96 114 202 220 234 240 276 286 294 316	-693995316160
STPT(10)	2111887620749689841	0 2 36 38 78 80 120 122 156 158	-545494588296
SPT(16)	2111887685213859901	0 36 46 76 82 88 132 160 258 286 330 336 342 372 382 418	-481030418236
STPT(10)	2111887942988143511	0 2 36 38 78 80 120 122 156 158	-223256134626
STPT(10)	2111888005094747651	0 2 36 38 78 80 120 122 156 158	-161149530486
SPT(16)	2111888244921507527	0 12 14 126 132 156 236 264 272 300 380 404 410 522 524 536	78677229390
SPT(16)	2111888586848031619	0 42 78 82 118 144 172 174 418 420 448 474 510 514 550 592	420603753482
SPT(16)	2111888649587711801	0 6 92 120 132 162 176 228 290 342 356 386 398 426 512 518	483343433664
TPT(14)	2111889116407374431	0 2 96 98 138 140 150 152 180 182 240 242 288 290	950163096294
STPT(10)	2111889257363805287	0 2 30 32 42 44 54 56 84 86	1091119527150