Prime p₀= 2162831869540905887 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 88 2 70 2 10 2 118 2 46 2 (?)
a_n: 0 2 120 122 210 212 282 284 294 296 414 416 462 464
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: 464
Found by: Landjunge
db: batch=81, k=14, 118 88 70 10 118 46

SPT(16)	2162830486248545107	0 12 16 40 42 66 106 120 142 156 196 220 222 246 250 262	-1383292360780
STPT(10)	2162831034399894707	0 2 30 32 60 62 90 92 120 122	-835141011180
SPT(16)	2162831364144752101	0 72 100 190 240 250 262 268 300 306 318 328 378 468 496 568	-505396153786
STPT(10)	2162831625250477637	0 2 30 32 42 44 54 56 84 86	-244290428250
SPT(16)	2162831812595150887	0 10 22 36 42 46 54 72 94 112 120 124 130 144 156 166	-56945755000
STPT(10)	2162831823959479877	0 2 12 14 42 44 72 74 84 86	-45581426010
SPT(16)	2162832424192111907	0 6 14 20 32 42 144 186 200 242 344 354 366 372 380 386	554651206020
SPT(16)	2162832544684729739	0 44 50 98 132 162 198 224 288 314 350 380 414 462 468 512	675143823852
STPT(10)	2162833024869352007	0 2 12 14 42 44 72 74 84 86	1155328446120
SPT(16)	2162833513551955457	0 2 26 56 92 96 120 162 170 212 236 240 276 306 330 332	1644011049570
STPT(10)	2162833813878417479	0 2 48 50 60 62 72 74 120 122	1944337511592