Prime p₀= 907397421653821517 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 58 2 124 2 10 2 178 2 (?)
a_n: 0 2 12 14 24 26 84 86 210 212 222 224 402 404
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: 404
Found by: Theadalus
db: batch=76, k=14, 10 10 58 124 10 178

SPT(16)	907396246636781813	0 38 114 174 204 218 234 248 300 314 330 344 374 434 510 548	-1175017039704
TPT(14)	907396455897224099	0 2 30 32 48 50 78 80 102 104 132 134 162 164	-965756597418
STPT(10)	907396527102171311	0 2 6 8 18 20 30 32 36 38	-894551650206
SPT(16)	907396734370829939	0 20 42 92 104 188 200 218 234 252 264 348 360 410 432 452	-687282991578
STPT(10)	907397184218043089	0 2 18 20 30 32 42 44 60 62	-237435778428
STPT(10)	907397219864718101	0 2 30 32 78 80 126 128 156 158	-201789103416
STPT(10)	907397843824265249	0 2 78 80 120 122 162 164 240 242	422170443732
STPT(10)	907397986177493351	0 2 30 32 78 80 126 128 156 158	564523671834
STPT(10)	907397986957972721	0 2 30 32 78 80 126 128 156 158	565304151204
STPT(10)	907398021971407331	0 2 30 32 78 80 126 128 156 158	600317585814
SPT(16)	907398179222690501	0 62 78 86 90 108 128 132 296 300 320 338 342 350 366 428	757568868984