Prime p₀= 2252427930462901727 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 28 2 10 2 4 2 40 2 (?)
a_n: 0 2 30 32 42 44 72 74 84 86 90 92 132 134
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: 134
Found by: JayPi
db: batch=81, k=14, 28 10 28 10 4 40

SPT(16)	2252426866873666507	0 10 52 126 154 160 190 216 220 246 276 282 310 384 426 436	-1063589235220
SPT(16)	2252427057995100937	0 4 10 12 40 46 52 60 136 144 150 156 184 186 192 196	-872467800790
STPT(10)	2252427237655637891	0 2 30 32 60 62 90 92 120 122	-692807263836
SPT(16)	2252427777027285343	0 16 28 78 94 100 106 150 154 198 204 210 226 276 288 304	-153435616384
SPT(16)	2252427796921734199	0 52 54 88 130 132 204 262 330 388 460 462 504 538 540 592	-133541167528
STPT(10)	2252427930164922467	0 2 12 14 42 44 72 74 84 86	-297979260
SPT(16)	2252428048717365641	0 6 56 66 80 128 132 146 192 206 210 258 272 282 332 338	118254463914
SPT(16)	2252429265468069659	0 12 20 38 44 72 80 98 114 132 140 168 174 192 200 212	1335005167932
STPT(10)	2252429338518829529	0 2 48 50 90 92 132 134 180 182	1408055927802
STPT(10)	2252429370209780129	0 2 18 20 30 32 42 44 60 62	1439746878402
SPT(16)	2252429418590792513	0 78 108 114 140 156 158 164 420 426 428 444 470 476 506 584	1488127890786