Prime p₀= 2821326169765713287 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: Ben
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2821324347448024181	0 2 30 32 78 80 126 128 156 158	-1822317689106
SPT(13)	2821324472391148457	0 6 24 54 66 84 90 96 114 126 156 174 180	-1697374564830
SPT(16)	2821325513975037131	0 2 30 38 56 86 102 126 182 206 222 252 270 278 306 308	-655790676156
STPT(10)	2821325590532599691	0 2 30 32 78 80 126 128 156 158	-579233113596
SPT(16)	2821326057327969619	0 28 30 54 60 64 88 120 148 180 204 208 214 238 240 268	-112437743668
STPT(10)	2821326083611936721	0 2 6 8 18 20 30 32 36 38	-86153776566
STPT(10)	2821326169962953201	0 2 6 8 48 50 90 92 96 98	197239914
SPT(16)	2821326325013673403	0 24 28 78 108 124 148 150 154 156 180 196 226 276 280 304	155247960116
STPT(10)	2821326526482650279	0 2 18 20 30 32 42 44 60 62	356716936992
STPT(10)	2821326528461060309	0 2 18 20 30 32 42 44 60 62	358695347022
STPT(10)	2821326553524367709	0 2 42 44 60 62 78 80 120 122	383758654422