Prime p₀= 2369786963254568939 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 4 2 22 2 136 2 10 2 (?)
a_n: 0 2 30 32 42 44 48 50 72 74 210 212 222 224
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: 224
Found by: Landjunge
db: batch=81, k=14, 28 10 4 22 136 10

STPT(10)	2369785851992638769	0 2 18 20 30 32 42 44 60 62	-1111261930170
SPT(16)	2369786168568542803	0 28 114 144 184 210 226 228 256 258 274 300 340 370 456 484	-794686026136
SPT(16)	2369786360676985759	0 10 18 34 78 88 90 124 174 208 210 220 264 280 288 298	-602577583180
STPT(10)	2369786529594152561	0 2 6 8 48 50 90 92 96 98	-433660416378
SPT(16)	2369786549880881479	0 10 40 64 78 84 108 148 150 190 214 220 234 258 288 298	-413373687460
STPT(10)	2369786697630870569	0 2 18 20 30 32 42 44 60 62	-265623698370
STPT(10)	2369787463282908839	0 2 42 44 60 62 78 80 120 122	500028339900
STPT(10)	2369787921437225657	0 2 30 32 42 44 54 56 84 86	958182656718
TPT(16)	2369788207960360571	0 2 18 20 138 140 156 158 270 272 336 338 348 350 360 362	1244705791632
SPT(16)	2369788643375880613	0 6 54 64 94 96 106 204 220 318 328 330 360 370 418 424	1680121311674
SPT(16)	2369788885133023931	0 12 42 78 90 98 126 170 258 302 330 338 350 386 416 428	1921878454992