Prime p₀= 2200598209670606111 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 16 2 130 2 4 2 28 2 40 2 (?)
a_n: 0 2 60 62 78 80 210 212 216 218 246 248 288 290
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: 290
Found by: JayPi
db: batch=81, k=14, 58 16 130 4 28 40

TPT(14)	2200597274025507359	0 2 60 62 78 80 162 164 168 170 198 200 210 212	-935645098752
SPT(16)	2200597398262749481	0 28 42 66 72 112 190 210 298 318 396 436 442 466 480 508	-811407856630
STPT(10)	2200597482781808531	0 2 36 38 78 80 120 122 156 158	-726888797580
STPT(10)	2200597604043798299	0 2 18 20 30 32 42 44 60 62	-605626807812
SPT(16)	2200597620477348641	0 2 26 96 110 132 138 152 156 170 176 198 212 282 306 308	-589193257470
SPT(16)	2200597738928105761	0 10 46 76 156 160 168 192 346 370 378 382 462 492 528 538	-470742500350
SPT(16)	2200598630250692249	0 2 74 78 84 114 132 134 138 140 158 188 194 198 270 272	420580086138
SPT(16)	2200598750657137631	0 8 26 30 50 80 86 92 126 132 138 168 188 192 210 218	540986531520
SPT(16)	2200599143345407183	0 10 108 124 136 144 190 238 246 294 340 348 360 376 474 484	933674801072
SPT(16)	2200599717972295261	0 10 30 42 52 102 112 222 268 378 388 438 448 460 480 490	1508301689150
STPT(10)	2200599739295180537	0 2 30 32 42 44 54 56 84 86	1529624574426