Prime p₀= 2954811680251853789 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 88 2 118 2 28 2 16 2 (?)
a_n: 0 2 42 44 120 122 210 212 330 332 360 362 378 380
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: 380
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=14, 40 76 88 118 28 16

SPT(16)	2954810404218959329	0 28 30 42 88 102 114 138 184 208 220 234 280 292 294 322	-1276032894460
STPT(10)	2954810495185908179	0 2 42 44 60 62 78 80 120 122	-1185065945610
SPT(16)	2954810997141618211	0 22 48 76 90 132 142 178 210 246 256 298 312 340 366 388	-683110235578
SPT(16)	2954811160424682529	0 18 22 70 88 90 102 120 172 190 202 204 222 270 274 292	-519827171260
SPT(16)	2954811495299002147	0 12 22 46 76 100 124 142 144 162 186 210 240 264 274 286	-184952851642
SPT(16)	2954811592424546927	0 50 74 120 156 176 186 254 282 350 360 380 416 462 486 536	-87827306862
SPT(16)	2954811863941956607	0 12 52 102 112 130 180 186 220 226 276 294 304 354 394 406	183690102818
SPT(16)	2954812034040840971	0 110 126 138 140 152 288 368 390 470 606 618 620 632 648 758	353788987182
SPT(16)	2954812376571666607	0 12 34 40 42 54 64 84 190 210 220 232 234 240 262 274	696319812818
SPT(16)	2954812621962468469	0 30 42 112 144 228 250 252 310 312 334 418 450 520 532 562	941710614680
STPT(10)	2954812645531094981	0 2 6 8 48 50 90 92 96 98	965279241192