Prime p₀= 2217179609392695767 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 88 2 130 2 40 2 34 2 10 2 (?)
a_n: 0 2 150 152 240 242 372 374 414 416 450 452 462 464
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: 464
Found by: Orange Kid
db: batch=81, k=14, 148 88 130 40 34 10

STPT(10)	2217178537522539137	0 2 30 32 42 44 54 56 84 86	-1071870156630
STPT(10)	2217179270171901239	0 2 78 80 120 122 162 164 240 242	-339220794528
STPT(10)	2217179283137687129	0 2 48 50 60 62 72 74 120 122	-326255008638
STPT(10)	2217179382160822991	0 2 6 8 18 20 30 32 36 38	-227231872776
SPT(16)	2217179386336107521	0 20 42 72 122 128 152 182 198 228 252 258 308 338 360 380	-223056588246
TPT(14)	2217179388062831669	0 2 12 14 42 44 72 74 78 80 120 122 138 140	-221329864098
SPT(16)	2217179701147264517	0 24 110 114 140 170 206 222 224 240 276 306 332 336 422 446	91754568750
SPT(16)	2217179796720418499	0 8 30 72 84 120 162 170 222 230 272 308 320 362 384 392	187327722732
SPT(16)	2217180768196681783	0 34 66 84 118 124 150 160 174 184 210 216 250 268 300 334	1158803986016
SPT(16)	2217180937607989589	0 54 62 78 92 98 122 200 252 330 354 360 374 390 398 452	1328215293822
SPT(16)	2217181353187227611	0 6 38 48 56 60 62 108 140 186 188 192 200 210 242 248	1743794531844