Prime p₀= 2377752835146583637 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2377751644296248189	0 2 12 14 30 32 48 50 60 62	-1190850335448
SPT(16)	2377751919799050827	0 32 96 110 114 116 120 126 230 236 240 242 246 260 324 356	-915347532810
STPT(10)	2377752148571470367	0 2 30 32 72 74 114 116 144 146	-686575113270
STPT(10)	2377752153469802297	0 2 24 26 42 44 60 62 84 86	-681676781340
SPT(16)	2377752191839659697	0 12 34 52 54 90 132 150 286 304 346 382 384 402 424 436	-643306923940
TPT(14)	2377752760018216619	0 2 42 44 78 80 120 122 132 134 162 164 210 212	-75128367018
STPT(10)	2377753242040744031	0 2 36 38 78 80 120 122 156 158	406894160394
SPT(16)	2377753279256877989	0 38 80 108 224 228 234 320 342 428 434 438 554 582 624 662	444110294352
SPT(16)	2377753345993438529	0 20 42 50 84 110 138 168 194 224 252 278 312 320 342 362	510846854892
SPT(16)	2377753834032047299	0 34 54 64 90 112 162 190 252 280 330 352 378 388 408 442	998885463662
SPT(16)	2377753884745970569	0 18 34 108 130 144 202 210 262 270 328 342 364 438 454 472	1049599386932