Prime p₀= 2729469525668555429 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 298 2 40 2 4 2 40 2 28 2 46 2 (?)
a_n: 0 2 300 302 342 344 348 350 390 392 420 422 468 470
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: JayPi
db: batch=82, k=14, 298 40 4 40 28 46

SPT(13)	2729468056402543361	0 48 126 138 156 210 258 306 360 378 390 468 516	-1469266012068
SPT(16)	2729468094941015209	0 12 52 60 108 138 144 220 222 298 304 334 382 390 430 442	-1430727540220
TPT(14)	2729468271695864591	0 2 60 62 138 140 156 158 168 170 180 182 198 200	-1253972690838
STPT(10)	2729468271695864729	0 2 18 20 30 32 42 44 60 62	-1253972690700
SPT(16)	2729469186616718531	0 38 56 66 72 96 110 138 140 168 182 206 212 222 240 278	-339051836898
STPT(10)	2729469482411842967	0 2 30 32 42 44 54 56 84 86	-43256712462
SPT(16)	2729470367299432259	0 18 20 60 72 90 104 114 128 138 152 170 182 222 224 242	841630876830
SPT(16)	2729470395454068569	0 78 84 108 120 134 144 158 174 188 198 212 224 248 254 332	869785513140
SPT(16)	2729470407025915361	0 2 12 30 32 50 56 86 102 132 138 156 158 176 186 188	881357359932
SPT(16)	2729470414635593303	0 78 90 108 140 146 174 210 254 290 318 324 356 374 386 464	888967037874
STPT(10)	2729470818678095069	0 2 42 44 90 92 138 140 180 182	1293009539640