Prime p₀= 2708844440826807761 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 94 2 10 2 16 2 28 2 10 2 (?)
a_n: 0 2 60 62 156 158 168 170 186 188 216 218 228 230
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: 230
Found by: JayPi
db: batch=82, k=14, 58 94 10 16 28 10

SPT(16)	2708841316792302149	0 20 24 30 54 108 132 134 168 170 194 248 272 278 282 302	-3124034505612
SPT(16)	2708841446871671879	0 14 32 42 50 80 102 132 152 182 204 234 242 252 270 284	-2993955135882
SPT(16)	2708842310624863739	0 14 44 62 78 102 182 212 270 300 380 404 420 438 468 482	-2130201944022
STPT(10)	2708843534094041711	0 2 6 8 48 50 90 92 96 98	-906732766050
STPT(10)	2708843810377088471	0 2 6 8 48 50 90 92 96 98	-630449719290
STPT(10)	2708843934599808251	0 2 78 80 138 140 198 200 276 278	-506226999510
SPT(16)	2708844980916271663	0 4 34 48 118 156 166 168 256 258 268 306 376 390 420 424	540089463902
TPT(14)	2708845498163330387	0 2 12 14 30 32 54 56 114 116 120 122 234 236	1057336522626
STPT(10)	2708845584849452681	0 2 6 8 48 50 90 92 96 98	1144022644920
SPT(16)	2708845658856330683	0 6 44 74 84 86 134 138 176 180 228 230 240 270 308 314	1218029522922
STPT(10)	2708845730587629077	0 2 30 32 42 44 54 56 84 86	1289760821316