Prime p₀= 2732177773547996927 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 190 2 40 2 34 2 40 2 106 2 40 2 (?)
a_n: 0 2 192 194 234 236 270 272 312 314 420 422 462 464
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: 464
Found by: JayPi
db: batch=82, k=14, 190 40 34 40 106 40

SPT(16)	2732175985694909671	0 12 30 36 42 58 82 102 106 126 150 166 172 178 196 208	-1787853087256
TPT(14)	2732176213067296199	0 2 12 14 42 44 120 122 162 164 180 182 240 242	-1560480700728
STPT(10)	2732176412074930451	0 2 120 122 138 140 156 158 276 278	-1361473066476
SPT(16)	2732176531566894319	0 24 40 78 118 138 144 162 220 238 244 264 304 342 358 382	-1241981102608
STPT(10)	2732176573669332407	0 2 90 92 102 104 114 116 204 206	-1199878664520
STPT(10)	2732177253928055111	0 2 6 8 48 50 90 92 96 98	-519619941816
STPT(10)	2732177876723050001	0 2 36 38 78 80 120 122 156 158	103175053074
SPT(16)	2732178466376797241	0 18 38 60 68 86 96 110 156 170 180 198 206 228 248 266	692828800314
STPT(10)	2732178627488476799	0 2 42 44 90 92 138 140 180 182	853940479872
SPT(16)	2732179106747045821	0 6 48 172 202 208 228 280 348 400 420 426 456 580 622 628	1333199048894
SPT(16)	2732179453232265709	0 24 72 78 102 150 184 238 264 318 352 400 424 430 478 502	1679684268782