Prime p₀= 2892430920711199937 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 46 2 76 2 52 2 4 2 (?)
a_n: 0 2 42 44 54 56 102 104 180 182 234 236 240 242
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: 242
Found by: JonS
db: batch=82, k=14, 40 10 46 76 52 4

SPT(16)	2892430143740854273	0 40 90 118 120 148 238 270 274 306 396 424 426 454 504 544	-776970345664
STPT(10)	2892430147037219021	0 2 30 32 78 80 126 128 156 158	-773673980916
SPT(16)	2892430339313112733	0 6 10 24 48 58 94 108 136 150 186 196 220 234 238 244	-581398087204
SPT(16)	2892430426096933021	0 42 46 58 66 72 82 112 126 156 166 172 180 192 196 238	-494614266916
SPT(16)	2892430517460290263	0 70 78 108 118 150 228 244 270 286 364 396 406 436 444 514	-403250909674
SPT(16)	2892430624703575057	0 6 12 16 34 42 70 90 196 216 244 252 270 274 280 286	-296007624880
STPT(10)	2892431077477439747	0 2 12 14 42 44 72 74 84 86	156766239810
SPT(16)	2892431917669917499	0 22 34 42 52 64 100 112 192 204 240 252 262 270 282 304	996958717562
SPT(16)	2892432377539832107	0 10 12 22 36 66 120 192 250 322 376 406 420 430 432 442	1456828632170
STPT(10)	2892432406055321447	0 2 42 44 132 134 222 224 264 266	1485344121510
TPT(14)	2892432679332752201	0 2 6 8 18 20 120 122 126 128 216 218 240 242	1758621552264