Prime p₀= 2701466969434909757 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 28 2 40 2 64 2 28 2 310 2 (?)
a_n: 0 2 72 74 102 104 144 146 210 212 240 242 552 554
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: 554
Found by: biodoc
db: batch=82, k=14, 70 28 40 64 28 310

SPT(16)	2701465842531668413	0 18 54 64 84 88 106 126 148 168 186 190 210 220 256 274	-1126903241344
STPT(10)	2701465851868921727	0 2 42 44 72 74 102 104 144 146	-1117565988030
STPT(10)	2701465891614922319	0 2 18 20 30 32 42 44 60 62	-1077819987438
SPT(16)	2701466310107737649	0 8 38 44 50 114 140 158 204 222 248 312 318 324 354 362	-659327172108
STPT(12)	2701466403135111569	0 2 12 14 42 44 138 140 168 170 180 182	-566299798188
SPT(16)	2701466656260587581	0 28 42 60 72 78 120 126 172 178 220 226 238 256 270 298	-313174322176
TPT(14)	2701467009577053959	0 2 90 92 138 140 168 170 180 182 348 350 378 380	40142144202
STPT(10)	2701467286906559399	0 2 48 50 90 92 132 134 180 182	317471649642
SPT(16)	2701467679664417233	0 10 36 66 78 94 100 124 150 174 180 196 208 238 264 274	710229507476
STPT(10)	2701467961370966999	0 2 72 74 180 182 288 290 360 362	991936057242
TPT(14)	2701468110835759037	0 2 12 14 90 92 222 224 234 236 264 266 300 302	1141400849280