Prime p₀= 2700274654510847831 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 28 2 52 2 16 2 28 2 10 2 (?)
a_n: 0 2 96 98 126 128 180 182 198 200 228 230 240 242
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: 242
Found by: biodoc
db: batch=82, k=14, 94 28 52 16 28 10

TPT(14)	2700273196051774877	0 2 30 32 120 122 144 146 204 206 210 212 240 242	-1458459072954
STPT(10)	2700273234732554651	0 2 30 32 78 80 126 128 156 158	-1419778293180
SPT(16)	2700273404800734649	0 28 78 124 148 154 162 210 232 280 288 294 318 364 414 442	-1249710113182
STPT(10)	2700273607482833201	0 2 78 80 138 140 198 200 276 278	-1047028014630
STPT(10)	2700274392588150407	0 2 30 32 42 44 54 56 84 86	-261922697424
SPT(16)	2700274538978250667	0 10 12 16 30 46 52 90 262 300 306 322 336 340 342 352	-115532597164
SPT(16)	2700274856603647051	0 46 78 88 138 148 150 178 240 268 270 280 330 340 372 418	202092799220
SPT(16)	2700274923566304923	0 14 24 90 116 138 164 186 278 300 326 348 374 440 450 464	269055457092
SPT(16)	2700275835928336517	0 26 54 104 126 132 140 152 174 186 194 200 222 272 300 326	1181417488686
TPT(14)	2700275884550024111	0 2 78 80 156 158 198 200 270 272 288 290 366 368	1230039176280
SPT(16)	2700276033831634943	0 14 44 48 114 116 126 150 164 188 198 200 266 270 300 314	1379320787112