Prime p₀= 2184642586519624277 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 40 2 268 2 46 2 58 2 16 2 (?)
a_n: 0 2 72 74 114 116 384 386 432 434 492 494 510 512
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: 512
Found by: [SG-FC] hl
db: batch=81, k=14, 70 40 268 46 58 16

SPT(16)	2184640858517945837	0 44 60 62 74 92 104 140 204 240 252 270 282 284 300 344	-1728001678440
SPT(16)	2184641761334739463	0 40 60 78 96 108 138 154 180 196 226 238 256 274 294 334	-825184884814
SPT(16)	2184641795476180331	0 12 26 30 32 48 56 62 96 102 110 126 128 132 146 158	-791043443946
SPT(16)	2184641810963634013	0 76 78 208 246 258 300 330 346 376 418 430 468 598 600 676	-775555990264
STPT(10)	2184641952990823517	0 2 90 92 102 104 114 116 204 206	-633528800760
STPT(10)	2184641971442373941	0 2 36 38 78 80 120 122 156 158	-615077250336
STPT(10)	2184642672683688359	0 2 18 20 30 32 42 44 60 62	86164064082
STPT(10)	2184642946411908677	0 2 30 32 60 62 90 92 120 122	359892284400
STPT(10)	2184643214670872279	0 2 18 20 30 32 42 44 60 62	628151248002
STPT(10)	2184643369348756439	0 2 12 14 30 32 48 50 60 62	782829132162
STPT(10)	2184643724179480271	0 2 36 38 78 80 120 122 156 158	1137659855994