Prime p₀= 2253400294997808659 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 220 2 154 2 52 2 28 2 46 2 100 2 (?)
a_n: 0 2 222 224 378 380 432 434 462 464 510 512 612 614
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: 614
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 220 154 52 28 46 100

SPT(16)	2253397975175667967	0 12 126 160 202 204 282 334 402 454 532 534 576 610 724 736	-2319822140692
SPT(16)	2253398028326703523	0 30 40 88 114 126 150 166 198 214 238 250 276 324 334 364	-2266671105136
SPT(16)	2253398875509088379	0 42 62 72 90 120 122 164 168 210 212 242 260 270 290 332	-1419488720280
SPT(16)	2253398942574762079	0 54 82 84 88 168 174 184 198 208 214 294 298 300 328 382	-1352423046580
STPT(10)	2253399320615325431	0 2 6 8 48 50 90 92 96 98	-974382483228
STPT(10)	2253400168939136429	0 2 18 20 60 62 102 104 120 122	-126058672230
TPT(16)	2253400780127520899	0 2 120 122 192 194 210 212 330 332 360 362 408 410 432 434	485129712240
SPT(16)	2253401199254605781	0 38 42 56 146 192 266 272 336 342 416 462 552 566 570 608	904256797122
SPT(16)	2253401309876890567	0 16 30 60 120 190 210 240 286 316 336 406 466 496 510 526	1014879081908
SPT(16)	2253401373508627369	0 4 34 42 70 82 84 102 112 130 132 144 172 180 210 214	1078510818710
SPT(16)	2253401664680085317	0 6 32 66 126 216 224 242 264 282 290 380 440 474 500 506	1369682276658