Prime p₀= 2801190986189165111 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 10 2 46 2 22 2 124 2 (?)
a_n: 0 2 36 38 66 68 78 80 126 128 150 152 276 278
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: 278
Found by: JayPi
db: batch=82, k=14, 34 28 10 46 22 124

SPT(16)	2801189178876284813	0 24 30 66 74 84 144 170 180 206 266 276 284 320 326 350	-1807312880298
STPT(12)	2801189286067515149	0 2 102 104 132 134 198 200 228 230 330 332	-1700121649962
SPT(16)	2801190110927304197	0 2 62 114 164 176 180 182 204 206 210 222 272 324 384 386	-875261860914
SPT(16)	2801190135518618527	0 6 24 46 52 76 94 112 144 162 180 204 210 232 250 256	-850670546584
STPT(10)	2801190307575773567	0 2 24 26 42 44 60 62 84 86	-678613391544
SPT(16)	2801190383782088149	0 90 124 130 168 172 174 192 280 298 300 304 342 348 382 472	-602407076962
SPT(16)	2801191345090946771	0 38 78 80 90 126 150 210 326 386 410 446 456 458 498 536	358901781660
SPT(16)	2801191387377392957	0 2 62 72 104 110 132 192 254 314 336 342 374 384 444 446	401188227846
SPT(16)	2801191749879802171	0 60 72 88 148 258 270 282 298 310 322 432 492 508 520 580	763690637060
STPT(10)	2801191837882176197	0 2 30 32 42 44 54 56 84 86	851693011086
SPT(16)	2801191895895326677	0 30 34 60 84 90 120 142 174 196 226 232 256 282 286 316	909706161566