Prime p₀= 2601751356007794017 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(20)	2601749531245482197	0 56 62 86 90 114 164 182 216 222 284 290 324 342 392 416 420 444 450 506	-1824762311820
STPT(10)	2601749564572211309	0 2 12 14 90 92 168 170 180 182	-1791435582708
STPT(10)	2601750043161944327	0 2 42 44 72 74 102 104 144 146	-1312845849690
SPT(16)	2601750047818903199	0 14 54 98 102 108 168 170 192 194 254 260 264 308 348 362	-1308188890818
SPT(16)	2601750415793147093	0 14 26 44 56 74 80 98 126 144 150 168 180 198 210 224	-940214646924
SPT(16)	2601750581403368069	0 2 44 78 138 140 152 192 320 360 372 374 434 468 510 512	-774604425948
SPT(16)	2601751403749740601	0 6 58 72 88 100 130 156 172 198 228 240 256 270 322 328	47741946584
SPT(16)	2601751529645072369	0 48 60 80 90 110 122 138 152 168 180 200 210 230 242 290	173637278352
STPT(10)	2601751572627187829	0 2 30 32 60 62 90 92 120 122	216619393812
STPT(10)	2601752083436707109	0 2 18 20 30 32 42 44 60 62	727428913092
SPT(16)	2601752159621156137	0 12 82 84 142 166 204 214 222 232 270 294 352 354 424 436	803613362120