Prime p₀= 1350051235439456411 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 10 2 58 2 10 2 16 2 10 2 (?)
a_n: 0 2 96 98 108 110 168 170 180 182 198 200 210 212
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: 212
Found by: stoneageman
db: batch=77, k=14, 94 10 58 10 16 10

SPT(18)	1350048590457879589	0 60 78 90 102 142 144 162 184 258 280 298 300 340 352 364 382 442	-2644981576822
STPT(10)	1350049079008766579	0 2 42 44 60 62 78 80 120 122	-2156430689832
TPT(14)	1350049798487058749	0 2 12 14 132 134 300 302 348 350 372 374 510 512	-1436952397662
STPT(10)	1350050267960744927	0 2 54 56 132 134 210 212 264 266	-967478711484
STPT(10)	1350050317173416849	0 2 48 50 90 92 132 134 180 182	-918266039562
STPT(10)	1350050323400399891	0 2 6 8 48 50 90 92 96 98	-912039056520
STPT(10)	1350051312117757367	0 2 30 32 42 44 54 56 84 86	76678300956
SPT(16)	1350051427784061419	0 2 32 68 74 140 180 182 240 242 282 348 354 390 420 422	192344605008
SPT(16)	1350051520548469703	0 18 26 48 90 98 110 116 138 144 156 164 206 228 236 254	285109013292
STPT(10)	1350051548339291849	0 2 18 20 30 32 42 44 60 62	312899835438
STPT(10)	1350051788388980177	0 2 54 56 72 74 90 92 144 146	552949523766