Prime p₀= 2934219649117031159 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 70 2 106 2 28 2 28 2 22 2 (?)
a_n: 0 2 78 80 150 152 258 260 288 290 318 320 342 344
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: 344
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 76 70 106 28 28 22

SPT(13)	2934217885973972537	0 36 66 102 120 150 156 162 192 210 246 276 312	-1763143058622
STPT(12)	2934218144341477319	0 2 60 62 72 74 228 230 240 242 300 302	-1504775553840
STPT(10)	2934218246236218881	0 2 36 38 78 80 120 122 156 158	-1402880812278
SPT(16)	2934218375070835607	0 140 146 170 182 186 240 266 366 392 446 450 462 486 492 632	-1274046195552
SPT(16)	2934218790932211631	0 18 46 90 112 118 312 336 442 466 660 666 688 732 760 778	-858184819528
SPT(16)	2934218819348850823	0 100 124 130 138 144 168 180 184 196 220 226 234 240 264 364	-829768180336
SPT(16)	2934220008948829589	0 50 72 102 120 132 134 158 174 198 200 212 230 260 282 332	359831798430
STPT(10)	2934220140566063561	0 2 36 38 78 80 120 122 156 158	491449032402
STPT(10)	2934220378652688737	0 2 54 56 132 134 210 212 264 266	729535657578
SPT(16)	2934220827987021127	0 10 16 34 120 154 156 220 300 364 366 400 486 504 510 520	1178869989968
SPT(16)	2934221251772329733	0 8 18 54 74 110 126 146 258 278 294 330 350 386 396 404	1602655298574