Prime p₀= 2387546546020504007 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 70 2 16 2 46 2 82 2 4 2 (?)
a_n: 0 2 12 14 84 86 102 104 150 152 234 236 240 242
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: 242
Found by: Landjunge
db: batch=81, k=14, 10 70 16 46 82 4

SPT(16)	2387545753480156039	0 4 30 78 88 94 102 114 268 280 288 294 304 352 378 382	-792540347968
SPT(16)	2387545771754159987	0 12 14 20 42 80 122 146 180 204 246 284 306 312 314 326	-774266344020
STPT(10)	2387545780856623139	0 2 18 20 30 32 42 44 60 62	-765163880868
STPT(10)	2387545969113452969	0 2 48 50 90 92 132 134 180 182	-576907051038
SPT(16)	2387546458287537119	0 48 62 80 102 108 138 140 150 152 182 188 210 228 242 290	-87732966888
STPT(10)	2387546459412751937	0 2 24 26 42 44 60 62 84 86	-86607752070
STPT(10)	2387546554559879897	0 2 30 32 60 62 90 92 120 122	8539375890
SPT(16)	2387546813488983743	0 84 86 98 120 128 164 186 188 210 246 254 276 288 290 374	267468479736
SPT(16)	2387546927223295129	0 10 24 28 40 52 90 108 154 172 210 222 234 238 252 262	381202791122
SPT(16)	2387547417808241113	0 10 34 66 124 144 148 196 228 276 280 300 358 390 414 424	871787737106
SPT(16)	2387547691086753001	0 28 30 66 78 118 126 132 256 262 270 310 322 358 360 388	1145066248994