Prime p₀= 2402706761681231009 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 94 2 58 2 22 2 46 2 (?)
a_n: 0 2 30 32 42 44 138 140 198 200 222 224 270 272
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: 272
Found by: Donn Pike (USAF Ret)
db: batch=82, k=14, 28 10 94 58 22 46

SPT(16)	2402705869603042117	0 102 126 144 162 190 240 256 300 316 366 394 412 430 454 556	-892078188892
SPT(16)	2402706093822670079	0 8 78 138 140 162 170 204 338 372 380 402 404 464 534 542	-667858560930
STPT(10)	2402706145011885917	0 2 12 14 42 44 72 74 84 86	-616669345092
SPT(16)	2402706153578219273	0 38 56 68 96 108 126 144 200 218 236 248 276 288 306 344	-608103011736
STPT(10)	2402706238842830021	0 2 6 8 48 50 90 92 96 98	-522838400988
SPT(16)	2402706734594852129	0 8 14 30 44 48 72 78 104 110 134 138 152 168 174 182	-27086378880
SPT(16)	2402707033585563577	0 6 34 52 94 96 120 126 130 136 160 162 204 222 250 256	271904332568
STPT(10)	2402707233429727727	0 2 24 26 42 44 60 62 84 86	471748496718
STPT(10)	2402707364645214167	0 2 30 32 72 74 114 116 144 146	602963983158
SPT(16)	2402707663986516739	0 10 12 54 102 142 168 172 180 184 210 250 298 340 342 352	902305285730
SPT(16)	2402708122913832637	0 46 52 72 100 112 154 166 210 222 264 276 304 324 330 376	1361232601628