Prime p₀= 2309258196174412757 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 106 2 10 2 16 2 82 2 (?)
a_n: 0 2 30 32 42 44 150 152 162 164 180 182 264 266
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: 266
Found by: Landjunge
db: batch=81, k=14, 28 10 106 10 16 82

SPT(16)	2309256349500049249	0 40 60 70 88 108 112 124 138 150 154 174 192 202 222 262	-1846674363508
SPT(16)	2309256376806358457	0 44 80 86 90 132 134 234 272 372 374 416 420 426 462 506	-1819368054300
SPT(16)	2309256673229510317	0 24 34 36 52 76 180 196 300 316 420 444 460 462 472 496	-1522944902440
SPT(16)	2309258002405876811	0 2 32 66 80 92 132 156 176 200 240 252 266 300 330 332	-193768535946
STPT(10)	2309258184108010139	0 2 12 14 90 92 168 170 180 182	-12066402618
STPT(10)	2309258190217819847	0 2 30 32 42 44 54 56 84 86	-5956592910
STPT(10)	2309258422998475979	0 2 18 20 30 32 42 44 60 62	226824063222
SPT(16)	2309258563079887927	0 16 70 72 82 114 124 132 154 162 172 204 214 216 270 286	366905475170
STPT(10)	2309259237772676051	0 2 30 32 78 80 126 128 156 158	1041598263294
STPT(10)	2309259341948067137	0 2 30 32 72 74 114 116 144 146	1145773654380
STPT(10)	2309259352664610077	0 2 30 32 42 44 54 56 84 86	1156490197320