Prime p₀= 2286347379358561661 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=81, k=10, 2 4 2 10 2

STPT(10)	2286346392309702389	0 2 42 44 60 62 78 80 120 122	-987048859272
TPT(14)	2286346481430982247	0 2 30 32 102 104 180 182 300 302 390 392 492 494	-897927579414
SPT(16)	2286346531157764651	0 6 16 28 52 88 108 160 378 430 450 486 510 522 532 538	-848200797010
SPT(16)	2286346736073423341	0 68 110 126 138 146 170 180 248 258 282 290 302 318 360 428	-643285138320
SPT(16)	2286346932039041033	0 30 108 120 144 204 210 218 276 284 290 350 374 386 464 494	-447319520628
SPT(16)	2286346992007955003	0 18 56 86 138 140 156 200 204 248 264 266 318 348 386 404	-387350606658
SPT(16)	2286347532333863287	0 4 6 34 60 66 90 100 186 196 220 226 252 280 282 286	152975301626
SPT(16)	2286348353733738059	0 12 30 68 90 98 152 188 204 240 294 302 324 362 380 392	974375176398
SPT(16)	2286348358676896471	0 12 28 60 70 112 130 132 178 180 198 240 250 282 298 310	979318334810
STPT(10)	2286348545010043991	0 2 36 38 78 80 120 122 156 158	1165651482330
SPT(16)	2286348900445624099	0 10 42 64 78 82 144 220 282 358 420 424 438 460 492 502	1521087062438