Prime p₀= 2066280471275388281 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 94 2 22 2 34 2 130 2 46 2 (?)
a_n: 0 2 60 62 156 158 180 182 216 218 348 350 396 398
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: 398
Found by: Cruncher Pete
db: batch=80, k=14, 58 94 22 34 130 46

STPT(10)	2066279248931956319	0 2 18 20 30 32 42 44 60 62	-1222343431962
STPT(10)	2066279381494514897	0 2 42 44 72 74 102 104 144 146	-1089780873384
TPT(14)	2066279416959611129	0 2 12 14 78 80 90 92 108 110 150 152 210 212	-1054315777152
STPT(10)	2066279635729829711	0 2 36 38 78 80 120 122 156 158	-835545558570
STPT(10)	2066280178094944751	0 2 36 38 78 80 120 122 156 158	-293180443530
SPT(16)	2066280193547975597	0 56 140 206 234 254 260 294 332 366 372 392 420 486 570 626	-277727412684
STPT(10)	2066280578113584137	0 2 30 32 42 44 54 56 84 86	106838195856
STPT(10)	2066280697302964661	0 2 36 38 78 80 120 122 156 158	226027576380
SPT(16)	2066281477743022283	0 30 56 78 86 108 156 200 216 260 308 330 338 360 386 416	1006467634002
SPT(16)	2066281624507877191	0 6 52 72 106 136 162 226 252 316 342 372 406 426 472 478	1153232488910
SPT(16)	2066282061497839777	0 12 22 42 54 72 82 96 100 114 124 142 154 174 184 196	1590222451496