Prime p₀= 2710947004458386777 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 10 2 136 2 70 2 10 2 (?)
a_n: 0 2 12 14 30 32 42 44 180 182 252 254 264 266
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: 266
Found by: JayPi
db: batch=82, k=14, 10 16 10 136 70 10

SPT(16)	2710946179790346847	0 4 30 46 90 96 100 112 114 126 130 136 180 196 222 226	-824668039930
STPT(10)	2710946339407363199	0 2 18 20 30 32 42 44 60 62	-665051023578
SPT(16)	2710946468243395139	0 8 32 38 44 72 104 134 198 228 260 288 294 300 324 332	-536214991638
SPT(16)	2710946469451394389	0 18 78 90 102 120 144 150 172 178 202 220 232 244 304 322	-535006992388
STPT(10)	2710946576764187087	0 2 42 44 72 74 102 104 144 146	-427694199690
STPT(10)	2710946744134008431	0 2 6 8 18 20 30 32 36 38	-260324378346
SPT(16)	2710947405937493293	0 64 90 138 160 198 208 238 336 366 376 414 436 484 510 574	401479106516
STPT(10)	2710947442001754491	0 2 6 8 48 50 90 92 96 98	437543367714
SPT(16)	2710947750076430591	0 12 38 80 86 90 96 138 140 182 188 192 198 240 266 278	745618043814
SPT(16)	2710947836555401021	0 10 12 28 46 106 112 126 172 186 192 252 270 286 288 298	832097014244
STPT(10)	2710948381594092551	0 2 6 8 18 20 30 32 36 38	1377135705774