Prime p₀= 2378196111321861137 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 46 2 40 2 70 2 4 2 (?)
a_n: 0 2 60 62 102 104 150 152 192 194 264 266 270 272
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: 272
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 58 40 46 40 70 4

STPT(10)	2378195251795917647	0 2 30 32 60 62 90 92 120 122	-859525943490
SPT(16)	2378195455220108291	0 6 60 66 78 98 176 180 188 192 270 290 302 308 362 368	-656101752846
TPT(14)	2378195706661279577	0 2 42 44 132 134 144 146 210 212 282 284 312 314	-404660581560
SPT(16)	2378195885486852071	0 42 70 102 106 148 186 208 270 292 330 372 376 408 436 478	-225835009066
SPT(16)	2378195888829902291	0 66 78 80 90 120 138 296 300 458 476 506 516 518 530 596	-222491958846
STPT(10)	2378195984413305269	0 2 48 50 90 92 132 134 180 182	-126908555868
SPT(16)	2378196115891084891	0 10 30 108 120 132 138 150 208 220 226 238 250 328 348 358	4569223754
SPT(16)	2378196125970055397	0 12 30 42 54 110 116 144 182 210 216 272 284 296 314 326	14648194260
STPT(10)	2378196728299399871	0 2 78 80 108 110 138 140 216 218	616977538734
STPT(10)	2378196926012085851	0 2 30 32 78 80 126 128 156 158	814690224714
SPT(16)	2378197010486948633	0 8 20 36 68 104 120 156 188 224 240 276 308 324 336 344	899165087496