Prime p₀= 2708217956049399917 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 4 2 40 2 10 2 16 2 (?)
a_n: 0 2 30 32 54 56 60 62 102 104 114 116 132 134
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: 134
Found by: conf [MM]
db: batch=82, k=14, 28 22 4 40 10 16

SPT(16)	2708216497749999881	0 2 32 60 98 108 150 152 168 170 212 222 260 288 318 320	-1458299400036
STPT(10)	2708216538019235489	0 2 78 80 120 122 162 164 240 242	-1418030164428
STPT(10)	2708216856460263737	0 2 30 32 42 44 54 56 84 86	-1099589136180
STPT(10)	2708217024995678039	0 2 18 20 30 32 42 44 60 62	-931053721878
STPT(10)	2708217276597706607	0 2 24 26 42 44 60 62 84 86	-679451693310
STPT(10)	2708217891701710931	0 2 6 8 48 50 90 92 96 98	-64347688986
SPT(16)	2708217992453448701	0 48 50 62 116 162 182 186 272 276 296 342 396 408 410 458	36404048784
SPT(16)	2708218474376925011	0 8 12 20 42 62 78 80 150 152 168 188 210 218 222 230	518327525094
SPT(16)	2708218695942068611	0 42 66 70 82 96 108 112 126 130 142 156 168 172 196 238	739892668694
STPT(10)	2708218706672108681	0 2 6 8 18 20 30 32 36 38	750622708764
STPT(12)	2708218789719309311	0 2 18 20 30 32 228 230 240 242 258 260	833669909394