Prime p₀= 2667313375677246851 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 76 2 58 2 136 2 10 2 28 2 (?)
a_n: 0 2 120 122 198 200 258 260 396 398 408 410 438 440
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: 440
Found by: JayPi
db: batch=82, k=14, 118 76 58 136 10 28

STPT(10)	2667311777106364811	0 2 90 92 150 152 210 212 300 302	-1598570882040
SPT(16)	2667312009889940923	0 4 30 48 100 124 130 138 160 168 174 198 250 268 294 298	-1365787305928
SPT(16)	2667312171687457453	0 4 34 40 54 96 120 126 208 214 238 280 294 300 330 334	-1203989789398
TPT(14)	2667312210832666217	0 2 30 32 72 74 132 134 174 176 384 386 450 452	-1164844580634
SPT(16)	2667312715544051093	0 24 74 80 126 134 164 176 318 330 360 368 414 420 470 494	-660133195758
SPT(16)	2667313269694120147	0 42 46 52 60 72 84 90 196 202 214 226 234 240 244 286	-105983126704
STPT(10)	2667313411030235249	0 2 42 44 60 62 78 80 120 122	35352988398
STPT(10)	2667313418818115201	0 2 36 38 78 80 120 122 156 158	43140868350
SPT(16)	2667313701407619709	0 12 18 22 78 100 124 168 184 228 252 274 330 334 340 352	325730372858
SPT(16)	2667313787214853681	0 58 60 132 240 256 300 342 466 508 552 568 676 748 750 808	411537606830
STPT(10)	2667313867127199539	0 2 18 20 30 32 42 44 60 62	491449952688