Prime p₀= 2726575526086145549 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: JayPi
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	2726573967638056381	0 10 18 28 30 88 130 150 160 180 222 280 282 292 300 310	-1558448089168
STPT(10)	2726574073309577471	0 2 30 32 138 140 246 248 276 278	-1452776568078
STPT(10)	2726574803466302429	0 2 12 14 90 92 168 170 180 182	-722619843120
SPT(16)	2726574826357898969	0 8 12 18 50 60 92 120 200 228 260 270 302 308 312 320	-699728246580
SPT(16)	2726575386560811619	0 52 54 82 84 88 124 130 192 198 234 238 240 268 270 322	-139525333930
SPT(16)	2726575470950558597	0 14 74 80 86 90 102 140 156 194 206 210 216 222 282 296	-55135586952
STPT(10)	2726575739243335949	0 2 12 14 30 32 48 50 60 62	213157190400
STPT(10)	2726575922735577761	0 2 30 32 60 62 90 92 120 122	396649432212
STPT(10)	2726575932398488517	0 2 12 14 42 44 72 74 84 86	406312342968
SPT(16)	2726576181994145791	0 52 120 156 190 228 270 330 388 448 490 528 562 598 666 718	655908000242
SPT(16)	2726576237448506039	0 20 24 72 120 122 134 164 210 240 252 254 302 350 354 374	711362360490