Prime p₀= 1272235397781480701 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 28 2 124 2 22 2 16 2 (?)
a_n: 0 2 18 20 60 62 90 92 216 218 240 242 258 260
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: 260
Found by: xii5ku
db: batch=77, k=14, 16 40 28 124 22 16

SPT(16)	1272234819117748691	0 8 32 62 90 126 128 170 498 540 542 578 606 636 660 668	-578663732010
SPT(16)	1272234969339189421	0 10 30 70 100 102 156 166 186 196 250 252 282 322 342 352	-428442291280
STPT(10)	1272235014016053287	0 2 30 32 72 74 114 116 144 146	-383765427414
SPT(16)	1272235058653893421	0 36 66 76 112 136 148 150 178 180 192 216 252 262 292 328	-339127587280
SPT(16)	1272235270919602631	0 6 90 122 176 200 228 246 272 290 318 342 396 428 512 518	-126861878070
STPT(10)	1272235282971799841	0 2 36 38 78 80 120 122 156 158	-114809680860
SPT(16)	1272235646028803399	0 62 98 140 152 158 210 228 272 290 342 348 360 402 438 500	248247322698
SPT(16)	1272235712847091379	0 18 24 32 92 104 132 188 204 260 288 300 360 368 374 392	315065610678
SPT(16)	1272235787557821017	0 66 84 116 200 206 260 324 332 396 450 456 540 572 590 656	389776340316
TPT(14)	1272235946726299697	0 2 84 86 102 104 114 116 132 134 162 164 204 206	548944818996
SPT(16)	1272236201822550917	0 2 32 80 120 144 164 192 212 240 260 284 324 372 402 404	804041070216