Prime p₀= 2362617674204751671 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 10 2 28 2 10 2 16 2 (?)
a_n: 0 2 30 32 66 68 78 80 108 110 120 122 138 140
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: 140
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 28 34 10 28 10 16

STPT(10)	2362616100563678129	0 2 18 20 60 62 102 104 120 122	-1573641073542
SPT(16)	2362616401903975057	0 40 42 46 70 100 126 130 192 196 222 252 276 280 282 322	-1272300776614
STPT(10)	2362616748079493207	0 2 30 32 42 44 54 56 84 86	-926125258464
SPT(16)	2362616786100102979	0 12 30 52 54 100 118 130 222 234 252 298 300 322 340 352	-888104648692
SPT(16)	2362617259316124583	0 6 48 64 70 84 100 136 138 174 190 204 210 226 268 274	-414888627088
SPT(16)	2362617471503572081	0 10 16 58 60 88 102 120 178 196 210 238 240 282 288 298	-202701179590
STPT(10)	2362617702652957157	0 2 42 44 72 74 102 104 144 146	28448205486
SPT(16)	2362617901683866797	0 12 22 34 40 60 84 120 136 172 196 216 222 234 244 256	227479115126
SPT(16)	2362617919585547567	0 32 80 104 126 164 182 216 290 324 342 380 402 426 474 506	245380795896
SPT(16)	2362618221162868133	0 24 38 44 86 98 134 156 188 210 246 258 300 306 320 344	546958116462
STPT(10)	2362618690997793209	0 2 42 44 60 62 78 80 120 122	1016793041538