Prime p₀= 1696081853713703549 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 112 2 196 2 10 2 28 2 34 2 (?)
a_n: 0 2 18 20 132 134 330 332 342 344 372 374 408 410
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: 410
Found by: marmot
db: batch=79, k=14, 16 112 196 10 28 34

SPT(18)	1696080240606306839	0 8 98 120 188 240 260 294 350 372 428 462 482 534 602 624 714 722	-1613107396710
SPT(16)	1696080597600414329	0 14 24 54 78 98 120 140 192 212 234 254 278 308 318 332	-1256113289220
SPT(16)	1696080824557592857	0 40 70 90 114 150 156 160 216 220 226 262 286 306 336 376	-1029156110692
TPT(14)	1696080911932195727	0 2 54 56 72 74 204 206 210 212 222 224 264 266	-941781507822
SPT(16)	1696080960199934501	0 26 42 56 78 96 140 146 162 168 212 230 252 266 282 308	-893513769048
STPT(10)	1696081372975358399	0 2 30 32 60 62 90 92 120 122	-480738345150
SPT(16)	1696081904041760299	0 10 18 54 58 114 124 130 192 198 208 264 268 304 312 322	50328056750
SPT(16)	1696082004884841403	0 34 40 58 64 78 100 126 238 264 286 300 306 324 330 364	151171137854
STPT(10)	1696082062734949847	0 2 12 14 42 44 72 74 84 86	209021246298
STPT(10)	1696082117020785581	0 2 6 8 48 50 90 92 96 98	263307082032
SPT(20)	1696082366050009499	0 24 42 44 72 80 92 128 132 162 260 290 294 330 342 350 378 380 398 422	512336305950