Prime p₀= 2538279726905837009 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 70 2 94 2 10 2 40 2 16 2 (?)
a_n: 0 2 30 32 102 104 198 200 210 212 252 254 270 272
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: RFGuy_KCCO
db: batch=82, k=14, 28 70 94 10 40 16

SPT(16)	2538278800023825403	0 34 46 58 76 84 94 108 136 150 160 168 186 198 210 244	-926882011606
SPT(16)	2538278841844109927	0 2 44 62 72 122 180 192 254 266 324 374 384 402 444 446	-885061727082
STPT(10)	2538279197348582627	0 2 30 32 60 62 90 92 120 122	-529557254382
STPT(12)	2538279217679246099	0 2 48 50 78 80 210 212 240 242 288 290	-509226590910
STPT(10)	2538279363365979509	0 2 12 14 90 92 168 170 180 182	-363539857500
SPT(16)	2538279466440445271	0 8 60 90 92 126 140 146 222 228 242 276 278 308 360 368	-260465391738
SPT(16)	2538279860515054693	0 58 66 94 108 136 156 174 280 298 318 346 360 388 396 454	133609217684
SPT(16)	2538279963630573727	0 6 10 34 90 130 144 154 276 286 300 340 396 420 424 430	236724736718
SPT(16)	2538280046323919239	0 18 52 124 130 144 154 262 270 378 388 402 408 480 514 532	319418082230
TPT(14)	2538280227267257981	0 2 6 8 60 62 138 140 180 182 198 200 210 212	500361420972
STPT(10)	2538280277442389939	0 2 18 20 30 32 42 44 60 62	550536552930