Prime p₀= 2198843271988480769 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 70 2 136 2 28 2 10 2 16 2 (?)
a_n: 0 2 78 80 150 152 288 290 318 320 330 332 348 350
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: 350
Found by: Penguin
db: batch=81, k=14, 76 70 136 28 10 16

STPT(10)	2198840866729269821	0 2 36 38 78 80 120 122 156 158	-2405259210948
SPT(16)	2198840905510812349	0 54 124 138 142 168 184 190 282 288 304 330 334 348 418 472	-2366477668420
SPT(16)	2198841356015963261	0 12 26 32 42 116 140 162 260 282 306 380 390 396 410 422	-1915972517508
STPT(10)	2198841560661016877	0 2 12 14 72 74 132 134 144 146	-1711327463892
STPT(10)	2198842351269481199	0 2 42 44 60 62 78 80 120 122	-920718999570
SPT(16)	2198843243562187847	0 36 60 80 182 186 234 284 342 392 440 444 546 566 590 626	-28426292922
TPT(14)	2198843309093249699	0 2 60 62 72 74 108 110 138 140 192 194 312 314	37104768930
STPT(10)	2198843446876786607	0 2 60 62 102 104 144 146 204 206	174888305838
STPT(10)	2198843551281593771	0 2 36 38 78 80 120 122 156 158	279293113002
SPT(16)	2198843616554589913	0 24 84 156 208 216 234 250 294 310 328 336 388 460 520 544	344566109144
SPT(16)	2198843885772967039	0 88 90 132 150 172 180 190 192 202 210 232 250 292 294 382	613784486270