Prime p₀= 2783897474047845341 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 88 2 40 2 76 2 40 2 10 2 (?)
a_n: 0 2 6 8 96 98 138 140 216 218 258 260 270 272
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: 272
Found by: [SG-FC] hl
db: batch=82, k=14, 4 88 40 76 40 10

SPT(16)	2783895066906121243	0 78 96 130 168 190 196 204 430 438 444 466 504 538 556 634	-2407141724098
STPT(10)	2783896205168182451	0 2 6 8 48 50 90 92 96 98	-1268879662890
SPT(16)	2783896314271331977	0 40 46 64 76 130 132 142 144 154 156 210 222 240 246 286	-1159776513364
SPT(16)	2783896765893305201	0 20 32 38 42 80 132 140 198 206 258 296 300 306 318 338	-708154540140
SPT(16)	2783896823031904009	0 34 78 84 100 150 174 268 300 394 418 468 484 490 534 568	-651015941332
SPT(16)	2783897098130300389	0 24 30 54 72 112 124 138 154 168 180 220 238 262 268 292	-375917544952
SPT(16)	2783897497101319003	0 16 30 88 96 100 124 144 220 240 264 268 276 334 348 364	23053473662
STPT(10)	2783897878839832169	0 2 48 50 60 62 72 74 120 122	404791986828
STPT(10)	2783898119181285287	0 2 30 32 42 44 54 56 84 86	645133439946
STPT(10)	2783898121676975789	0 2 12 14 90 92 168 170 180 182	647629130448
STPT(10)	2783898293037183941	0 2 66 68 108 110 150 152 216 218	818989338600