Prime p₀= 2782837297053749981 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 10 2 58 2 28 2 10 2 34 2 (?)
a_n: 0 2 66 68 78 80 138 140 168 170 180 182 216 218
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: 218
Found by: [SG-FC] hl
db: batch=82, k=14, 64 10 58 28 10 34

STPT(10)	2782836090379440551	0 2 30 32 78 80 126 128 156 158	-1206674309430
TPT(14)	2782836195190616009	0 2 12 14 18 20 30 32 42 44 132 134 168 170	-1101863133972
SPT(16)	2782836345836149907	0 12 14 24 36 42 156 194 222 260 374 380 392 402 404 416	-951217600074
STPT(10)	2782836535967741081	0 2 6 8 48 50 90 92 96 98	-761086008900
SPT(16)	2782836538656658721	0 18 56 90 98 132 156 168 230 242 266 300 308 342 380 398	-758397091260
SPT(16)	2782837218000270751	0 12 40 42 46 60 130 192 196 258 328 342 346 348 376 388	-79053479230
STPT(10)	2782837369357397897	0 2 30 32 42 44 54 56 84 86	72303647916
STPT(10)	2782837427147382359	0 2 18 20 30 32 42 44 60 62	130093632378
SPT(16)	2782837620678365759	0 20 42 68 98 132 144 222 230 308 320 354 384 410 432 452	323624615778
SPT(16)	2782837992534518999	0 42 54 84 92 104 114 134 210 230 240 252 260 290 302 344	695480769018
STPT(10)	2782838225532416897	0 2 24 26 42 44 60 62 84 86	928478666916