Prime p₀= 2234345122307267309 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 64 2 100 2 178 2 40 2 4 2 (?)
a_n: 0 2 72 74 138 140 240 242 420 422 462 464 468 470
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: 470
Found by: Penguin
db: batch=81, k=14, 70 64 100 178 40 4

SPT(16)	2234343683295542479	0 22 24 42 72 112 114 162 232 280 282 322 352 370 372 394	-1439011724830
STPT(10)	2234343920298878369	0 2 42 44 60 62 78 80 120 122	-1202008388940
SPT(16)	2234343932053880653	0 58 84 88 90 168 180 198 226 244 256 334 336 340 366 424	-1190253386656
SPT(16)	2234344456088828729	0 8 60 62 84 162 198 240 272 314 350 428 450 452 504 512	-666218438580
STPT(10)	2234344493547072029	0 2 12 14 30 32 48 50 60 62	-628760195280
STPT(10)	2234344623226192661	0 2 30 32 60 62 90 92 120 122	-499081074648
STPT(10)	2234345375979692321	0 2 90 92 108 110 126 128 216 218	253672425012
STPT(10)	2234345495013631289	0 2 42 44 90 92 138 140 180 182	372706363980
SPT(16)	2234345611295883707	0 20 32 44 102 122 140 144 152 156 174 194 252 264 276 296	488988616398
SPT(16)	2234346154808544187	0 10 46 82 112 120 160 196 270 306 346 354 384 420 456 466	1032501276878
TPT(14)	2234346409150206269	0 2 48 50 78 80 90 92 162 164 198 200 228 230	1286842938960