Prime p₀= 2392661116774883807 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 28 2 28 2 64 2 40 2 (?)
a_n: 0 2 12 14 54 56 84 86 114 116 180 182 222 224
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: 224
Found by: Landjunge
db: batch=81, k=14, 10 40 28 28 64 40

SPT(16)	2392658869045222399	0 10 84 118 138 178 180 222 250 292 294 334 354 388 462 472	-2247729661408
TPT(14)	2392659424047557711	0 2 48 50 138 140 210 212 228 230 258 260 270 272	-1692727326096
SPT(16)	2392659748772546431	0 78 90 142 220 232 268 280 288 300 336 348 426 478 490 568	-1368002337376
SPT(16)	2392660226307958967	0 2 12 20 44 110 122 152 252 282 294 360 384 392 402 404	-890466924840
STPT(10)	2392660505321769437	0 2 42 44 72 74 102 104 144 146	-611453114370
STPT(10)	2392660965130025669	0 2 48 50 60 62 72 74 120 122	-151644858138
SPT(16)	2392661527317643123	0 34 64 78 120 124 138 148 216 226 240 244 286 300 330 364	410542759316
STPT(10)	2392662013842619367	0 2 30 32 60 62 90 92 120 122	897067735560
SPT(16)	2392662191143421297	0 14 20 60 62 116 144 210 266 332 360 414 416 456 462 476	1074368537490
STPT(10)	2392662215007936587	0 2 42 44 72 74 102 104 144 146	1098233052780
STPT(10)	2392662708234781361	0 2 36 38 78 80 120 122 156 158	1591459897554