Prime p₀= 2206803115574354651 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 82 2 34 2 70 2 100 2 106 2 (?)
a_n: 0 2 6 8 90 92 126 128 198 200 300 302 408 410
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: 410
Found by: Penguin
db: batch=81, k=14, 4 82 34 70 100 106

SPT(16)	2206802566938595489	0 24 30 78 90 94 100 114 154 168 174 178 190 238 244 268	-548635759162
STPT(10)	2206802725665679637	0 2 60 62 72 74 84 86 144 146	-389908675014
STPT(10)	2206802771750652599	0 2 18 20 30 32 42 44 60 62	-343823702052
STPT(10)	2206802849543986451	0 2 6 8 18 20 30 32 36 38	-266030368200
SPT(16)	2206802943439574773	0 24 46 66 108 196 210 216 238 244 258 346 388 408 430 454	-172134779878
SPT(16)	2206803012859281241	0 16 30 40 100 136 166 226 252 312 342 378 438 448 462 478	-102715073410
STPT(10)	2206803454630176299	0 2 42 44 60 62 78 80 120 122	339055821648
SPT(16)	2206803517772239657	0 10 24 52 64 90 94 102 112 120 124 150 162 190 204 214	402197885006
STPT(10)	2206803546518535719	0 2 18 20 30 32 42 44 60 62	430944181068
STPT(10)	2206803551727220679	0 2 48 50 60 62 72 74 120 122	436152866028
SPT(16)	2206803827461424189	0 8 20 98 110 150 162 180 230 248 260 300 312 390 402 410	711887069538