Prime p₀= 820053810120432959 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: [SG-FC] hl
db: batch=73, k=10, 2 76 2 40 2

TPT(14)	820052291279514989	0 2 12 14 78 80 150 152 180 182 210 212 300 302	-1518840917970
STPT(12)	820052359698520649	0 2 30 32 42 44 138 140 150 152 180 182	-1450421912310
SPT(16)	820052513546723293	0 16 18 40 48 78 96 114 130 148 166 196 204 226 228 244	-1296573709666
SPT(16)	820052581677512159	0 14 54 110 144 174 210 228 254 272 308 338 372 428 468 482	-1228442920800
TPT(14)	820052613894074837	0 2 12 14 84 86 150 152 204 206 222 224 234 236	-1196226358122
STPT(10)	820052682440818829	0 2 30 32 60 62 90 92 120 122	-1127679614130
TPT(14)	820053812873198381	0 2 18 20 78 80 126 128 168 170 240 242 258 260	2752765422
STPT(10)	820054040669043137	0 2 12 14 42 44 72 74 84 86	230548610178
STPT(10)	820054236390559169	0 2 18 20 30 32 42 44 60 62	426270126210
SPT(16)	820054394512354559	0 18 32 42 48 50 74 78 104 108 132 134 140 150 164 182	584391921600
SPT(16)	820054435285152449	0 20 50 68 72 98 128 132 140 144 174 200 204 222 252 272	625164719490