Prime p₀= 805569165241930457 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 58 2 28 2 10 2 94 2 10 2 (?)
a_n: 0 2 42 44 102 104 132 134 144 146 240 242 252 254
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: 254
Found by: [SG]FX
db: batch=73, k=14, 40 58 28 10 94 10

STPT(10)	805568488500134627	0 2 30 32 72 74 114 116 144 146	-676741795830
STPT(10)	805568596628630687	0 2 30 32 72 74 114 116 144 146	-568613299770
SPT(16)	805568776053181039	0 18 28 54 60 72 82 100 102 120 130 142 148 174 184 202	-389188749418
SPT(16)	805568800076430967	0 22 36 52 96 162 180 192 220 232 250 316 360 376 390 412	-365165499490
STPT(12)	805569022296335579	0 2 18 20 42 44 78 80 102 104 120 122	-142945594878
SPT(16)	805569064964862223	0 4 36 70 78 88 126 130 204 208 246 256 264 298 330 334	-100277068234
STPT(10)	805569325874090681	0 2 36 38 78 80 120 122 156 158	160632160224
STPT(10)	805569533606745137	0 2 24 26 42 44 60 62 84 86	368364814680
STPT(10)	805569649152624269	0 2 12 14 90 92 168 170 180 182	483910693812
SPT(16)	805569811305589999	0 12 28 40 48 100 130 142 198 210 240 292 300 312 328 340	646063659542
STPT(10)	805570084227407501	0 2 30 32 60 62 90 92 120 122	918985477044