Prime p₀= 1326046101699985847 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 130 2 46 2 10 2 10 2 (?)
a_n: 0 2 42 44 60 62 192 194 240 242 252 254 264 266
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: 266
Found by: Theadalus
db: batch=77, k=14, 40 16 130 46 10 10

SPT(16)	1326045433038368509	0 10 18 42 78 102 168 174 208 214 280 304 340 364 372 382	-668661617338
TPT(14)	1326045468029422991	0 2 30 32 48 50 90 92 210 212 240 242 300 302	-633670562856
SPT(16)	1326045696098980583	0 24 38 74 84 90 158 188 210 240 308 314 324 360 374 398	-405601005264
SPT(16)	1326045794143947619	0 10 12 52 72 78 112 120 142 150 184 190 210 250 252 262	-307556038228
SPT(16)	1326045827926405219	0 22 28 60 102 112 162 190 390 418 468 478 520 552 558 580	-273773580628
SPT(16)	1326046057531761509	0 20 84 104 108 110 114 140 198 224 228 230 234 254 318 338	-44168224338
STPT(10)	1326046870014338357	0 2 42 44 132 134 222 224 264 266	768314352510
STPT(10)	1326047020704799817	0 2 54 56 72 74 90 92 144 146	919004813970
SPT(16)	1326047590989970817	0 86 104 134 140 152 264 276 320 332 444 456 462 492 510 596	1489289984970
SPT(16)	1326047726462714609	0 14 44 48 50 60 74 128 144 198 212 222 224 228 258 272	1624762728762
STPT(12)	1326047831703281759	0 2 42 44 48 50 72 74 78 80 120 122	1730003295912