Prime p₀= 1307166120764502569 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Paul
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1307164810111271861	0 2 36 38 78 80 120 122 156 158	-1310653230708
STPT(10)	1307164865997136589	0 2 18 20 60 62 102 104 120 122	-1254767365980
TPT(14)	1307164985501154539	0 2 12 14 42 44 102 104 132 134 138 140 168 170	-1135263348030
SPT(16)	1307165587200576997	0 36 54 60 82 102 106 112 144 150 154 174 196 202 220 256	-533563925572
SPT(16)	1307165784991022413	0 28 48 70 94 150 198 226 228 256 304 360 384 406 426 454	-335773480156
SPT(18)	1307166119674641131	0 6 12 50 90 110 140 162 180 248 266 288 318 338 378 416 422 428	-1089861438
STPT(10)	1307166695543715701	0 2 36 38 78 80 120 122 156 158	574779213132
STPT(10)	1307166700935028247	0 2 12 14 42 44 72 74 84 86	580170525678
SPT(16)	1307167167059885203	0 30 34 36 78 88 106 120 184 198 216 226 268 270 274 304	1046295382634
STPT(10)	1307167299298961069	0 2 12 14 30 32 48 50 60 62	1178534458500
SPT(16)	1307167461137517181	0 10 46 88 102 108 112 126 142 156 160 166 180 222 258 268	1340373014612