Prime p₀= 2816096065736732897 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: [SG-2W]Kurzer
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2816094483001330673	0 24 60 84 90 126 134 140 150 156 164 200 206 230 266 290	-1582735402224
STPT(10)	2816094674627892797	0 2 42 44 72 74 102 104 144 146	-1391108840100
STPT(10)	2816095243149864881	0 2 6 8 18 20 30 32 36 38	-822586868016
SPT(16)	2816095376517891319	0 12 40 54 88 90 108 118 144 154 172 174 208 222 250 262	-689218841578
STPT(10)	2816095752162360917	0 2 60 62 72 74 84 86 144 146	-313574371980
STPT(10)	2816095789954691927	0 2 12 14 72 74 132 134 144 146	-275782040970
SPT(16)	2816096639989560727	0 52 72 144 174 202 216 274 282 340 354 382 412 484 504 556	574252827830
SPT(16)	2816096642215385213	0 6 80 128 156 164 210 230 234 254 300 308 336 384 458 464	576478652316
STPT(10)	2816096927754099989	0 2 18 20 30 32 42 44 60 62	862017367092
TPT(14)	2816096939816940539	0 2 60 62 90 92 240 242 258 260 282 284 342 344	874080207642
SPT(16)	2816096954689419353	0 14 84 86 120 200 218 294 320 396 414 494 528 530 600 614	888952686456