Prime p₀= 813808915211364659 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 64 2 58 2 58 2 22 2 (?)
a_n: 0 2 30 32 42 44 108 110 168 170 228 230 252 254
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: 254
Found by: matsu_pl
db: batch=73, k=14, 28 10 64 58 58 22

STPT(10)	813808123267143419	0 2 18 20 30 32 42 44 60 62	-791944221240
SPT(16)	813808210611955619	0 14 32 110 114 140 168 180 272 284 312 338 342 420 438 452	-704599409040
SPT(16)	813808317969980467	0 40 82 96 114 142 220 270 346 396 474 502 520 534 576 616	-597241384192
SPT(16)	813808330701185761	0 16 42 90 100 112 130 132 166 168 186 198 208 256 282 298	-584510178898
SPT(16)	813808332370469413	0 4 18 40 54 76 118 160 174 216 258 280 294 316 330 334	-582840895246
SPT(16)	813808545748235153	0 8 20 36 68 78 96 110 114 128 146 156 188 204 216 224	-369463129506
SPT(16)	813809339142199181	0 36 48 62 68 92 146 152 216 222 276 300 306 320 332 368	423930834522
STPT(10)	813809350246687367	0 2 42 44 72 74 102 104 144 146	435035322708
STPT(10)	813809714608608071	0 2 6 8 48 50 90 92 96 98	799397243412
SPT(16)	813810175353313009	0 22 40 70 78 82 172 174 238 240 330 334 342 372 390 412	1260141948350
STPT(10)	813810372543381467	0 2 42 44 72 74 102 104 144 146	1457332016808