Prime p₀= 1907046223127426807 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 94 2 88 2 28 2 22 2 (?)
a_n: 0 2 30 32 54 56 150 152 240 242 270 272 294 296
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: 296
Found by: Landjunge
db: batch=80, k=14, 28 22 94 88 28 22

SPT(16)	1907043909999474149	0 2 8 50 72 92 140 164 198 222 270 290 312 354 360 362	-2313127952658
STPT(10)	1907044273031456561	0 2 36 38 78 80 120 122 156 158	-1950095970246
STPT(10)	1907044705311743741	0 2 78 80 168 170 258 260 336 338	-1517815683066
SPT(16)	1907045057295826009	0 4 28 58 64 94 102 118 144 160 168 198 204 234 258 262	-1165831600798
STPT(10)	1907045572564379447	0 2 12 14 72 74 132 134 144 146	-650563047360
STPT(10)	1907045925955745039	0 2 48 50 90 92 132 134 180 182	-297171681768
STPT(10)	1907047025185236677	0 2 12 14 42 44 72 74 84 86	802057809870
STPT(12)	1907047725851004377	0 2 42 44 60 62 84 86 102 104 144 146	1502723577570
SPT(16)	1907047787160647249	0 20 24 44 60 74 122 140 174 192 240 254 270 290 294 314	1564033220442
SPT(16)	1907048533807614859	0 34 60 84 100 102 114 184 198 268 280 282 298 322 348 382	2310680188052
SPT(16)	1907048748902526067	0 12 54 112 114 132 154 160 174 180 202 220 222 280 322 334	2525775099260