Prime p₀= 2317808274077273597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: eclipse99
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2317806602704725623	0 44 80 108 134 164 170 194 210 234 240 270 296 324 360 404	-1671372547974
STPT(10)	2317807331215109549	0 2 12 14 30 32 48 50 60 62	-942862164048
STPT(10)	2317807628315149457	0 2 42 44 132 134 222 224 264 266	-645762124140
STPT(10)	2317807728072463769	0 2 18 20 30 32 42 44 60 62	-546004809828
STPT(10)	2317808056480001621	0 2 6 8 48 50 90 92 96 98	-217597271976
SPT(16)	2317808138271726349	0 18 22 88 120 130 142 148 222 228 240 250 282 348 352 370	-135805547248
STPT(10)	2317808306138379797	0 2 30 32 42 44 54 56 84 86	32061106200
STPT(10)	2317808391368172851	0 2 30 32 78 80 126 128 156 158	117290899254
STPT(10)	2317808452060977947	0 2 30 32 42 44 54 56 84 86	177983704350
STPT(10)	2317808459884567619	0 2 48 50 90 92 132 134 180 182	185807294022
SPT(16)	2317808849780560441	0 12 42 70 82 120 126 180 238 292 298 336 348 376 406 418	575703286844