Prime p₀= 2161117730379629939 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 166 2 112 2 34 2 40 2 28 2 28 2 (?)
a_n: 0 2 168 170 282 284 318 320 360 362 390 392 420 422
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: 422
Found by: Landjunge
db: batch=81, k=14, 166 112 34 40 28 28

STPT(10)	2161117067767719959	0 2 42 44 60 62 78 80 120 122	-662611909980
STPT(10)	2161117242200714657	0 2 30 32 72 74 114 116 144 146	-488178915282
STPT(10)	2161117381524566807	0 2 24 26 42 44 60 62 84 86	-348855063132
STPT(10)	2161117443214548389	0 2 18 20 30 32 42 44 60 62	-287165081550
SPT(16)	2161117632035695141	0 76 142 156 172 222 256 268 450 462 496 546 562 576 642 718	-98343934798
SPT(16)	2161117649768761451	0 26 50 92 96 102 126 132 146 152 176 182 186 228 252 278	-80610868488
SPT(16)	2161117732751361199	0 34 40 48 58 60 84 90 112 118 142 144 154 162 168 202	2371731260
SPT(16)	2161117811538547349	0 8 20 24 68 78 104 120 122 138 164 174 218 222 234 242	81158917410
SPT(16)	2161117812243097843	0 18 24 64 66 78 148 150 154 156 226 238 240 280 286 304	81863467904
STPT(10)	2161117812631430837	0 2 30 32 60 62 90 92 120 122	82251800898
SPT(16)	2161118079394024937	0 26 30 44 54 84 92 120 146 174 182 212 222 236 240 266	349014394998