Prime p₀= 1165589100743419577 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 10 2 28 2 124 2 22 2 (?)
a_n: 0 2 24 26 42 44 54 56 84 86 210 212 234 236
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: 236
Found by: mikey
db: batch=77, k=14, 22 16 10 28 124 22

STPT(10)	1165588175878624187	0 2 30 32 42 44 54 56 84 86	-924864795390
SPT(16)	1165588226170488331	0 18 22 46 58 60 82 102 106 126 148 150 162 186 190 208	-874572931246
STPT(12)	1165588365901219829	0 2 30 32 72 74 90 92 132 134 162 164	-734842199748
SPT(16)	1165588616393375437	0 4 96 102 162 174 184 286 420 522 532 544 604 610 702 706	-484350044140
SPT(16)	1165588753020188993	0 44 68 114 144 158 200 210 224 234 276 290 320 366 390 434	-347723230584
STPT(10)	1165588997543920751	0 2 6 8 48 50 90 92 96 98	-103199498826
TPT(14)	1165589101957796099	0 2 48 50 78 80 132 134 288 290 390 392 498 500	1214376522
STPT(10)	1165589130974861141	0 2 6 8 48 50 90 92 96 98	30231441564
STPT(10)	1165589270133730991	0 2 6 8 48 50 90 92 96 98	169390311414
SPT(16)	1165589390210216273	0 8 24 38 78 98 108 134 150 176 186 206 246 260 276 284	289466796696
STPT(10)	1165589526623102687	0 2 30 32 42 44 54 56 84 86	425879683110