Prime p₀= 2218939375755919847 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 52 2 4 2 28 2 10 2 106 2 (?)
a_n: 0 2 30 32 84 86 90 92 120 122 132 134 240 242
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: 242
Found by: Rantanplan
db: batch=81, k=14, 28 52 4 28 10 106

STPT(10)	2218938444765931781	0 2 6 8 48 50 90 92 96 98	-930989988066
SPT(16)	2218938463584884347	0 10 22 36 54 60 96 126 130 160 196 202 220 234 246 256	-912171035500
STPT(10)	2218938677420653091	0 2 36 38 78 80 120 122 156 158	-698335266756
TPT(14)	2218938677420653091	0 2 36 38 78 80 120 122 156 158 168 170 180 182	-698335266756
STPT(10)	2218938733972826639	0 2 42 44 90 92 138 140 180 182	-641783093208
SPT(16)	2218938985652211167	0 2 14 24 132 140 170 230 234 294 324 332 440 450 462 464	-390103708680
STPT(10)	2218939551170276411	0 2 36 38 78 80 120 122 156 158	175414356564
SPT(16)	2218939615009333861	0 10 30 42 88 100 112 120 130 138 150 162 208 220 240 250	239253414014
SPT(16)	2218939719811302881	0 42 60 86 170 186 206 246 332 372 392 408 492 518 536 578	344055383034
SPT(16)	2218940056859979697	0 10 40 90 100 112 132 142 192 202 222 234 244 294 324 334	681104059850
TPT(14)	2218940215200198029	0 2 150 152 198 200 372 374 402 404 462 464 540 542	839444278182