Prime p₀= 1088568010069801211 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 28 2 112 2 64 2 40 2 (?)
a_n: 0 2 30 32 66 68 96 98 210 212 276 278 318 320
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: 320
Found by: Theadalus
db: batch=76, k=14, 28 34 28 112 64 40

SPT(16)	1088567228507761957	0 6 22 82 132 162 174 234 262 322 334 364 414 474 490 496	-781562039254
SPT(16)	1088567403503406479	0 50 60 72 78 90 134 144 158 168 212 224 230 242 252 302	-606566394732
TPT(14)	1088567439672956897	0 2 42 44 54 56 90 92 162 164 234 236 330 332	-570396844314
SPT(16)	1088567446457915527	0 34 36 42 46 120 132 256 360 484 496 570 574 580 582 616	-563611885684
SPT(16)	1088567549823743347	0 4 12 72 106 114 120 130 246 256 262 270 304 364 372 376	-460246057864
STPT(10)	1088567574252721229	0 2 18 20 60 62 102 104 120 122	-435817079982
STPT(10)	1088568128308308587	0 2 30 32 60 62 90 92 120 122	118238507376
STPT(10)	1088568516684655619	0 2 18 20 30 32 42 44 60 62	506614854408
SPT(16)	1088568541266504631	0 16 46 60 88 90 112 130 198 216 238 240 268 282 312 328	531196703420
SPT(16)	1088568575361191731	0 22 46 58 100 120 130 156 232 258 268 288 330 342 366 388	565291390520
TPT(14)	1088568725247033839	0 2 18 20 42 44 210 212 240 242 282 284 312 314	715177232628