Prime p₀= 1271956298956664117 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 4 2 22 2 58 2 64 2 10 2 (?)
a_n: 0 2 54 56 60 62 84 86 144 146 210 212 222 224
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: 224
Found by: xii5ku
db: batch=77, k=14, 52 4 22 58 64 10

STPT(10)	1271955162678587741	0 2 6 8 48 50 90 92 96 98	-1136278076376
SPT(13)	1271955622089532843	0 30 60 66 114 126 210 294 306 354 360 390 420	-676867131274
SPT(16)	1271955694962149291	0 30 42 68 72 90 138 152 168 182 230 248 252 278 290 320	-603994514826
SPT(13)	1271955874739593321	0 18 48 102 132 252 300 348 468 498 552 582 600	-424217070796
SPT(16)	1271955908809692149	0 30 32 38 72 102 138 168 194 224 260 290 324 330 332 362	-390146971968
SPT(16)	1271956099698292363	0 10 24 36 54 70 90 120 124 154 174 190 208 220 234 244	-199258371754
STPT(10)	1271956458122539757	0 2 12 14 42 44 72 74 84 86	159165875640
STPT(10)	1271956643082590831	0 2 36 38 78 80 120 122 156 158	344125926714
SPT(16)	1271956768174735919	0 20 48 50 92 108 132 174 338 380 404 420 462 464 492 512	469218071802
SPT(16)	1271956792462474837	0 10 36 90 94 96 112 132 154 174 190 192 196 250 276 286	493505810720
TPT(14)	1271956867248937979	0 2 30 32 42 44 132 134 168 170 228 230 258 260	568292273862