Prime p₀= 1780099163348572751 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 106 2 10 2 124 2 100 2 (?)
a_n: 0 2 18 20 60 62 168 170 180 182 306 308 408 410
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: 410
Found by: Orange Kid
db: batch=79, k=14, 16 40 106 10 124 100

SPT(13)	1780098584887040107	0 6 30 60 72 126 156 186 240 252 282 306 312	-578461532644
SPT(16)	1780098763679813123	0 18 24 114 134 138 164 176 228 240 266 270 290 380 386 404	-399668759628
STPT(10)	1780098822402048059	0 2 18 20 30 32 42 44 60 62	-340946524692
TPT(14)	1780098822402048059	0 2 18 20 30 32 42 44 60 62 132 134 168 170	-340946524692
SPT(16)	1780098953914167283	0 34 64 78 88 106 144 166 168 190 228 246 256 270 300 334	-209434405468
STPT(10)	1780099161468445799	0 2 42 44 60 62 78 80 120 122	-1880126952
STPT(12)	1780099374546212099	0 2 30 32 42 44 78 80 90 92 120 122	211197639348
STPT(10)	1780099676112439769	0 2 138 140 150 152 162 164 300 302	512763867018
SPT(16)	1780100139697070833	0 10 28 36 48 64 130 168 196 234 300 316 328 336 354 364	976348498082
SPT(16)	1780100262863945917	0 4 6 46 76 130 144 222 244 322 336 390 420 460 462 466	1099515373166
STPT(10)	1780100315208170771	0 2 6 8 48 50 90 92 96 98	1151859598020