Prime p₀= 2609033774764146971 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 52 2 46 2 10 2 16 2 130 2 (?)
a_n: 0 2 36 38 90 92 138 140 150 152 168 170 300 302
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: 302
Found by: [SG-FC] hl
db: batch=82, k=14, 34 52 46 10 16 130

SPT(18)	2609032383280054363	0 4 34 76 120 154 178 246 280 294 328 396 420 454 498 540 570 574	-1391484092608
STPT(10)	2609032661181933989	0 2 30 32 60 62 90 92 120 122	-1113582212982
SPT(16)	2609032984489086161	0 2 18 62 80 132 156 186 212 242 266 318 336 380 396 398	-790275060810
SPT(16)	2609033052268793107	0 16 40 66 70 114 156 180 196 220 262 306 310 336 360 376	-722495353864
SPT(16)	2609033131192105193	0 20 60 98 146 156 168 186 188 206 218 228 276 314 354 374	-643572041778
SPT(16)	2609033513252195009	0 30 80 168 198 212 242 248 324 330 360 374 404 492 542 572	-261511951962
SPT(16)	2609033824681058557	0 6 16 52 72 156 172 214 222 264 280 364 384 420 430 436	49916911586
STPT(12)	2609034032860564259	0 2 12 14 42 44 168 170 198 200 210 212	258096417288
TPT(14)	2609034176951940557	0 2 72 74 120 122 204 206 210 212 282 284 414 416	402187793586
STPT(10)	2609034235238145467	0 2 30 32 42 44 54 56 84 86	460473998496
SPT(16)	2609034819029933897	0 26 66 80 116 144 170 236 324 390 416 444 480 494 534 560	1044265786926