Prime p₀= 2700775970211081701 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 166 2 10 2 28 2 16 2 (?)
a_n: 0 2 78 80 108 110 276 278 288 290 318 320 336 338
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: 338
Found by: biodoc
db: batch=82, k=14, 76 28 166 10 28 16

SPT(16)	2700774083806810841	0 8 86 98 126 170 176 186 212 222 228 272 300 312 390 398	-1886404270860
SPT(16)	2700774285663387289	0 94 100 114 160 168 178 198 214 234 244 252 298 312 318 412	-1684547694412
SPT(16)	2700775282034866123	0 6 66 76 136 138 150 154 180 184 196 198 258 268 328 334	-688176215578
SPT(16)	2700775653754529123	0 38 56 66 68 78 110 120 194 204 236 246 248 258 276 314	-316456552578
SPT(16)	2700775692990527521	0 10 40 66 70 150 172 178 180 186 208 288 292 318 348 358	-277220554180
SPT(16)	2700775840506920819	0 2 44 74 80 102 170 200 324 354 422 444 450 480 522 524	-129704160882
STPT(10)	2700776054476892057	0 2 30 32 42 44 54 56 84 86	84265810356
TPT(14)	2700776091197073611	0 2 150 152 198 200 276 278 408 410 450 452 456 458	120985991910
STPT(10)	2700776199537142511	0 2 36 38 78 80 120 122 156 158	229326060810
STPT(10)	2700776543498332667	0 2 30 32 42 44 54 56 84 86	573287250966
STPT(10)	2700777112540798409	0 2 18 20 30 32 42 44 60 62	1142329716708