Prime p₀= 2511588846450999221 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 64 2 28 2 28 2 58 2 10 2 (?)
a_n: 0 2 30 32 96 98 126 128 156 158 216 218 228 230
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: 230
Found by: Groo
db: batch=82, k=14, 28 64 28 28 58 10

STPT(10)	2511587565430558229	0 2 18 20 30 32 42 44 60 62	-1281020440992
STPT(10)	2511588208148726891	0 2 30 32 60 62 90 92 120 122	-638302272330
SPT(16)	2511588240239088287	0 26 90 110 144 246 294 300 356 362 410 512 546 566 630 656	-606211910934
TPT(14)	2511588348720076499	0 2 12 14 318 320 390 392 408 410 420 422 522 524	-497730922722
SPT(16)	2511588647563656457	0 42 66 70 112 114 132 196 240 304 322 324 366 370 394 436	-198887342764
STPT(10)	2511588714878089499	0 2 78 80 120 122 162 164 240 242	-131572909722
STPT(10)	2511589017417908957	0 2 60 62 72 74 84 86 144 146	170966909736
SPT(16)	2511589365088205287	0 30 36 64 96 112 114 120 166 172 174 190 222 250 256 286	518637206066
STPT(10)	2511589493497168697	0 2 30 32 42 44 54 56 84 86	647046169476
STPT(10)	2511589846882258739	0 2 42 44 60 62 78 80 120 122	1000431259518
SPT(16)	2511589905205695593	0 38 54 66 108 146 168 180 224 236 258 296 338 350 366 404	1058754696372