Prime p₀= 2378195706661279577 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 88 2 10 2 64 2 70 2 28 2 (?)
a_n: 0 2 42 44 132 134 144 146 210 212 282 284 312 314
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: 314
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 40 88 10 64 70 28

SPT(16)	2378194774323628979	0 14 60 68 80 98 104 110 132 138 144 162 174 182 228 242	-932337650598
SPT(16)	2378195013768766867	0 36 54 64 76 90 96 132 184 220 226 240 252 262 280 316	-692892512710
STPT(10)	2378195150125896317	0 2 60 62 72 74 84 86 144 146	-556535383260
STPT(10)	2378195189156330387	0 2 30 32 42 44 54 56 84 86	-517504949190
STPT(10)	2378195251795917647	0 2 30 32 60 62 90 92 120 122	-454865361930
SPT(16)	2378195455220108291	0 6 60 66 78 98 176 180 188 192 270 290 302 308 362 368	-251441171286
SPT(16)	2378195885486852071	0 42 70 102 106 148 186 208 270 292 330 372 376 408 436 478	178825572494
SPT(16)	2378195888829902291	0 66 78 80 90 120 138 296 300 458 476 506 516 518 530 596	182168622714
STPT(10)	2378195984413305269	0 2 48 50 90 92 132 134 180 182	277752025692
TPT(14)	2378196111321861137	0 2 60 62 102 104 150 152 192 194 264 266 270 272	404660581560
SPT(16)	2378196115891084891	0 10 30 108 120 132 138 150 208 220 226 238 250 328 348 358	409229805314