Prime p₀= 2671031325180514937 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 16 2 28 2 10 2 34 2 40 2 (?)
a_n: 0 2 84 86 102 104 132 134 144 146 180 182 222 224
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: 224
Found by: JayPi
db: batch=82, k=14, 82 16 28 10 34 40

STPT(10)	2671030480318640861	0 2 36 38 78 80 120 122 156 158	-844861874076
TPT(14)	2671030639142314961	0 2 78 80 150 152 156 158 198 200 246 248 306 308	-686038199976
SPT(16)	2671030977355974391	0 6 30 58 70 96 112 132 166 186 202 228 240 268 292 298	-347824540546
SPT(16)	2671030981819421989	0 22 60 82 124 148 150 172 210 232 234 258 300 322 360 382	-343361092948
SPT(16)	2671031224878696047	0 36 54 60 96 104 110 144 212 246 252 260 296 302 320 356	-100301818890
STPT(10)	2671031292076193477	0 2 12 14 72 74 132 134 144 146	-33104321460
SPT(16)	2671031564182668257	0 42 50 102 110 114 140 152 162 174 200 204 212 264 272 314	239002153320
STPT(10)	2671032181176704327	0 2 54 56 132 134 210 212 264 266	855996189390
STPT(10)	2671032238978371509	0 2 42 44 90 92 138 140 180 182	913797856572
SPT(16)	2671032505965624421	0 10 22 70 76 88 90 112 126 148 150 162 168 216 228 238	1180785109484
SPT(16)	2671032739113007561	0 6 18 42 48 66 70 88 90 108 112 130 136 160 172 178	1413932492624