Prime p₀= 1012070956600521707 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 40 2 28 2 64 2 82 2 (?)
a_n: 0 2 30 32 42 44 84 86 114 116 180 182 264 266
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: 266
Found by: Theadalus
db: batch=76, k=14, 28 10 40 28 64 82

STPT(10)	1012068526864538177	0 2 60 62 72 74 84 86 144 146	-2429735983530
SPT(16)	1012069026700421297	0 2 6 14 54 56 66 80 156 170 180 182 222 230 234 236	-1929900100410
STPT(10)	1012069285306989731	0 2 6 8 48 50 90 92 96 98	-1671293531976
STPT(10)	1012069608110245931	0 2 36 38 78 80 120 122 156 158	-1348490275776
SPT(13)	1012069984877798929	0 42 54 90 102 120 132 144 162 174 210 222 264	-971722722778
SPT(16)	1012070429113413013	0 10 18 114 126 178 210 220 324 334 366 418 430 526 534 544	-527487108694
SPT(16)	1012070956989326197	0 6 12 22 46 60 94 96 160 162 196 210 234 244 250 256	388804490
SPT(16)	1012071211593864607	0 30 34 42 52 136 174 196 240 262 300 384 394 402 406 436	254993342900
STPT(10)	1012072090257940247	0 2 30 32 42 44 54 56 84 86	1133657418540
STPT(10)	1012072395308161169	0 2 12 14 90 92 168 170 180 182	1438707639462
TPT(14)	1012072664501079479	0 2 18 20 48 50 138 140 240 242 258 260 270 272	1707900557772