Prime p₀= 2810432001437404571 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 28 2 28 2 40 2 46 2 (?)
a_n: 0 2 78 80 108 110 138 140 168 170 210 212 258 260
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: 260
Found by: JayPi
db: batch=82, k=14, 76 28 28 28 40 46

STPT(12)	2810429150004038609	0 2 48 50 60 62 198 200 210 212 258 260	-2851433365962
SPT(16)	2810429487205628699	0 8 20 48 78 92 104 134 228 258 270 284 314 342 354 362	-2514231775872
SPT(16)	2810430035532449653	0 36 66 70 88 130 148 166 168 186 204 246 264 268 298 334	-1965904954918
SPT(16)	2810430380913025217	0 6 20 36 102 114 132 174 182 224 242 254 320 336 350 356	-1620524379354
SPT(16)	2810431523852687143	0 48 66 70 96 106 120 138 148 166 180 190 216 220 238 286	-477584717428
SPT(16)	2810431938354622927	0 4 24 34 72 112 114 120 226 232 234 274 312 322 342 346	-63082781644
STPT(10)	2810432515319466977	0 2 30 32 60 62 90 92 120 122	513882062406
SPT(16)	2810433057635784037	0 42 52 64 94 112 120 132 262 274 282 300 330 342 352 394	1056198379466
STPT(10)	2810433130711158047	0 2 30 32 42 44 54 56 84 86	1129273753476
STPT(10)	2810433332034766577	0 2 12 14 42 44 72 74 84 86	1330597362006
SPT(16)	2810433353679256957	0 12 42 60 64 94 112 142 192 222 240 270 274 292 322 334	1352241852386