Prime p₀= 2551820405280112259 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 10 2 28 2 34 2 28 2 (?)
a_n: 0 2 18 20 60 62 72 74 102 104 138 140 168 170
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: 170
Found by: RFGuy_KCCO
db: batch=82, k=14, 16 40 10 28 34 28

STPT(10)	2551818605920602971	0 2 36 38 138 140 240 242 276 278	-1799359509288
SPT(16)	2551818664896297623	0 14 66 78 80 84 126 138 236 248 290 294 296 308 360 374	-1740383814636
SPT(16)	2551819222180372759	0 4 10 24 28 40 58 70 72 84 102 114 118 132 138 142	-1183099739500
SPT(16)	2551819900427634619	0 18 30 40 70 100 258 268 282 292 450 480 510 520 532 550	-504852477640
STPT(10)	2551820064341198867	0 2 60 62 72 74 84 86 144 146	-340938913392
SPT(16)	2551820288923680331	0 18 46 78 90 96 166 258 280 372 442 448 460 492 520 538	-116356431928
SPT(16)	2551820685340816453	0 4 16 18 64 106 114 120 154 160 168 210 256 258 270 274	280060704194
STPT(10)	2551820884414404917	0 2 30 32 72 74 114 116 144 146	479134292658
SPT(16)	2551821050788669073	0 14 18 68 78 98 134 200 204 270 306 326 336 386 390 404	645508556814
SPT(16)	2551821098456634643	0 36 46 58 66 78 108 126 130 148 178 190 198 210 220 256	693176522384
SPT(16)	2551821170205975491	0 62 92 98 158 186 200 236 252 288 302 330 390 396 426 488	764925863232