Prime p₀= 2155867770040037147 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 94 2 40 2 40 2 58 2 76 2 (?)
a_n: 0 2 24 26 120 122 162 164 204 206 264 266 342 344
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: 344
Found by: Landjunge
db: batch=81, k=14, 22 94 40 40 58 76

SPT(16)	2155866318328344637	0 30 60 124 166 226 234 262 324 352 360 420 462 526 556 586	-1451711692510
SPT(16)	2155866743255411729	0 30 32 74 140 204 210 240 242 272 278 342 408 450 452 482	-1026784625418
SPT(16)	2155866808126915463	0 56 84 90 98 104 108 128 186 206 210 216 224 230 258 314	-961913121684
SPT(16)	2155866864312796417	0 6 40 54 70 72 84 96 160 172 184 186 202 216 250 256	-905727240730
STPT(10)	2155867390315783811	0 2 6 8 18 20 30 32 36 38	-379724253336
SPT(16)	2155867609697451833	0 8 24 74 108 120 176 200 204 228 284 296 330 380 396 404	-160342585314
STPT(10)	2155867872788564549	0 2 18 20 30 32 42 44 60 62	102748527402
STPT(10)	2155867986165851957	0 2 24 26 42 44 60 62 84 86	216125814810
STPT(10)	2155868473473766031	0 2 30 32 78 80 126 128 156 158	703433728884
SPT(16)	2155868789461694929	0 30 34 48 70 90 124 130 168 174 208 228 250 264 268 298	1019421657782
STPT(10)	2155869101250683681	0 2 30 32 78 80 126 128 156 158	1331210646534