Prime p₀= 2943218974264095419 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 46 2 40 2 70 2 16 2 (?)
a_n: 0 2 48 50 90 92 138 140 180 182 252 254 270 272
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: 272
Found by: Alnitak2019
db: batch=82, k=14, 46 40 46 40 70 16

SPT(13)	2943218223092693401	0 6 36 60 108 150 168 186 228 276 300 330 336	-751171402018
SPT(16)	2943218379791183701	0 12 16 30 78 88 100 126 142 168 180 190 238 252 256 268	-594472911718
SPT(16)	2943218567767452049	0 10 28 54 132 192 210 234 238 262 280 340 418 444 462 472	-406496643370
SPT(16)	2943218678555019181	0 18 58 66 72 88 100 148 150 198 210 226 232 240 280 298	-295709076238
SPT(16)	2943218773072674277	0 34 42 60 126 150 192 216 280 304 346 370 436 454 462 496	-201191421142
STPT(10)	2943218878322949011	0 2 30 32 60 62 90 92 120 122	-95941146408
STPT(12)	2943219088704898877	0 2 12 14 24 26 30 32 42 44 54 56	114440803458
TPT(14)	2943219824372891099	0 2 150 152 210 212 252 254 318 320 372 374 408 410	850108795680
STPT(10)	2943220304725612799	0 2 18 20 30 32 42 44 60 62	1330461517380
STPT(10)	2943220412445312911	0 2 6 8 18 20 30 32 36 38	1438181217492
SPT(16)	2943220602186239269	0 24 34 52 60 72 88 160 192 264 280 292 300 318 328 352	1627922143850