Prime p₀= 2593690585343715281 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 136 2 28 2 22 2 28 2 (?)
a_n: 0 2 6 8 48 50 186 188 216 218 240 242 270 272
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 40 136 28 22 28

STPT(10)	2593688388852068927	0 2 12 14 42 44 72 74 84 86	-2196491646354
SPT(16)	2593688865596958191	0 6 20 56 60 80 128 150 188 210 258 278 282 318 332 338	-1719746757090
SPT(16)	2593689104494493711	0 2 30 32 140 156 192 198 200 206 242 258 366 368 396 398	-1480849221570
SPT(16)	2593689356154654763	0 10 48 78 126 150 154 168 196 210 214 238 286 316 354 364	-1229189060518
SPT(16)	2593689683956088129	0 24 32 60 62 102 110 122 132 144 152 192 194 222 230 254	-901387627152
STPT(10)	2593689906290489687	0 2 72 74 102 104 132 134 204 206	-679053225594
STPT(10)	2593691131494760907	0 2 30 32 42 44 54 56 84 86	546151045626
STPT(10)	2593691291853717017	0 2 30 32 42 44 54 56 84 86	706510001736
SPT(16)	2593691320144764797	0 14 84 102 116 132 150 194 222 266 284 300 314 332 402 416	734801049516
SPT(16)	2593692053736354617	0 56 102 146 182 212 260 282 314 336 384 414 450 494 540 596	1468392639336
SPT(16)	2593692412451199053	0 14 24 38 44 56 66 80 144 158 168 180 186 200 210 224	1827107483772