Prime p₀= 2751685580576593007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2751683344330427821	0 6 58 108 136 160 186 216 322 352 378 402 430 480 532 538	-2236246165186
STPT(10)	2751683957663016989	0 2 18 20 30 32 42 44 60 62	-1622913576018
STPT(10)	2751684031379844887	0 2 42 44 72 74 102 104 144 146	-1549196748120
SPT(16)	2751684844700214853	0 16 36 48 58 106 138 180 184 226 258 306 316 328 348 364	-735876378154
SPT(16)	2751685058123716783	0 28 48 70 76 84 96 144 160 208 220 228 234 256 276 304	-522452876224
SPT(16)	2751685105449592321	0 36 42 72 126 130 136 148 150 162 168 172 226 256 262 298	-475127000686
SPT(16)	2751685755877239239	0 32 42 44 50 62 92 102 200 210 240 252 258 260 270 302	175300646232
SPT(16)	2751686136990701887	0 6 40 64 100 166 196 216 280 300 330 396 432 456 490 496	556414108880
STPT(10)	2751686621509784207	0 2 30 32 42 44 54 56 84 86	1040933191200
SPT(18)	2751686779609144357	0 10 16 60 102 114 142 154 180 226 252 264 292 304 346 390 396 406	1199032551350
SPT(16)	2751687127193564041	0 10 66 82 88 102 132 172 216 256 286 300 306 322 378 388	1546616971034