Prime p₀= 2437174291300897571 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 70 2 106 2 16 2 28 2 118 2 (?)
a_n: 0 2 78 80 150 152 258 260 276 278 306 308 426 428
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: 428
Found by: JayPi
db: batch=82, k=14, 76 70 106 16 28 118

STPT(10)	2437173167349222647	0 2 42 44 72 74 102 104 144 146	-1123951674924
SPT(16)	2437173347617594321	0 46 52 82 88 192 220 280 498 558 586 690 696 726 732 778	-943683303250
SPT(16)	2437173540897158809	0 4 54 70 124 130 144 160 168 184 198 204 258 274 324 328	-750403738762
STPT(10)	2437173560649266009	0 2 18 20 30 32 42 44 60 62	-730651631562
STPT(10)	2437173836385956531	0 2 78 80 108 110 138 140 216 218	-454914941040
STPT(10)	2437173859539172067	0 2 30 32 42 44 54 56 84 86	-431761725504
SPT(16)	2437174472708454851	0 8 26 30 86 110 126 150 338 362 378 402 458 462 480 488	181407557280
SPT(16)	2437174593317950267	0 34 42 52 90 94 106 124 132 150 162 166 204 214 222 256	302017052696
STPT(10)	2437174947001781417	0 2 12 14 72 74 132 134 144 146	655700883846
STPT(10)	2437175100146988821	0 2 6 8 48 50 90 92 96 98	808846091250
SPT(13)	2437175145498503539	0 12 24 54 72 90 132 174 192 210 240 252 264	854197605968