Prime p₀= 2700275884550024111 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 76 2 40 2 70 2 16 2 76 2 (?)
a_n: 0 2 78 80 156 158 198 200 270 272 288 290 366 368
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: 368
Found by: biodoc
db: batch=82, k=14, 76 76 40 70 16 76

STPT(10)	2700274392588150407	0 2 30 32 42 44 54 56 84 86	-1491961873704
SPT(16)	2700274538978250667	0 10 12 16 30 46 52 90 262 300 306 322 336 340 342 352	-1345571773444
TPT(14)	2700274654510847831	0 2 96 98 126 128 180 182 198 200 228 230 240 242	-1230039176280
SPT(16)	2700274856603647051	0 46 78 88 138 148 150 178 240 268 270 280 330 340 372 418	-1027946377060
SPT(16)	2700274923566304923	0 14 24 90 116 138 164 186 278 300 326 348 374 440 450 464	-960983719188
SPT(16)	2700275835928336517	0 26 54 104 126 132 140 152 174 186 194 200 222 272 300 326	-48621687594
SPT(16)	2700276033831634943	0 14 44 48 114 116 126 150 164 188 198 200 266 270 300 314	149281610832
SPT(16)	2700276211801703729	0 8 60 68 80 102 140 152 318 330 368 390 402 410 462 470	327251679618
SPT(16)	2700276379789250183	0 6 38 50 54 98 126 140 174 188 216 260 264 276 308 314	495239226072
SPT(16)	2700276463125595001	0 30 42 60 86 116 128 168 230 270 282 312 338 356 368 398	578575570890
STPT(10)	2700276530752585151	0 2 6 8 48 50 90 92 96 98	646202561040