Prime p₀= 820052613894074837 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 70 2 64 2 52 2 16 2 10 2 (?)
a_n: 0 2 12 14 84 86 150 152 204 206 222 224 234 236
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 236
Found by: [SG]FX
db: batch=73, k=14, 10 70 64 52 16 10

SPT(16)	820051698553692211	0 10 18 40 70 88 106 118 180 192 210 228 258 280 288 298	-915340382626
STPT(10)	820052165449718519	0 2 42 44 90 92 138 140 180 182	-448444356318
TPT(14)	820052291279514989	0 2 12 14 78 80 150 152 180 182 210 212 300 302	-322614559848
STPT(12)	820052359698520649	0 2 30 32 42 44 138 140 150 152 180 182	-254195554188
SPT(16)	820052513546723293	0 16 18 40 48 78 96 114 130 148 166 196 204 226 228 244	-100347351544
SPT(16)	820052581677512159	0 14 54 110 144 174 210 228 254 272 308 338 372 428 468 482	-32216562678
STPT(10)	820052682440818829	0 2 30 32 60 62 90 92 120 122	68546743992
STPT(10)	820053810120432959	0 2 78 80 120 122 162 164 240 242	1196226358122
TPT(14)	820053812873198381	0 2 18 20 78 80 126 128 168 170 240 242 258 260	1198979123544
STPT(10)	820054040669043137	0 2 12 14 42 44 72 74 84 86	1426774968300
STPT(10)	820054236390559169	0 2 18 20 30 32 42 44 60 62	1622496484332