Prime p₀= 2577702657062153441 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2577700240318057297	0 16 34 42 46 70 150 156 190 196 276 300 304 312 330 346	-2416744096144
SPT(16)	2577700260125787179	0 18 32 38 62 78 84 102 140 158 164 180 204 210 224 242	-2396936366262
SPT(16)	2577700679448525157	0 60 64 66 76 102 112 130 216 234 244 270 280 282 286 346	-1977613628284
STPT(10)	2577702443606240747	0 2 24 26 42 44 60 62 84 86	-213455912694
STPT(10)	2577702578182907177	0 2 30 32 72 74 114 116 144 146	-78879246264
SPT(16)	2577702621338294539	0 40 42 82 108 162 178 190 222 234 250 304 330 370 372 412	-35723858902
TPT(14)	2577702677349313529	0 2 72 74 108 110 162 164 168 170 210 212 222 224	20287160088
STPT(10)	2577703020733203887	0 2 30 32 42 44 54 56 84 86	363671050446
SPT(13)	2577703533447431839	0 48 90 108 114 150 234 318 354 360 378 420 468	876385278398
STPT(10)	2577703955550886949	0 2 48 50 90 92 132 134 180 182	1298488733508
SPT(16)	2577703975311489841	0 60 88 130 136 180 190 196 270 276 286 330 336 378 406 466	1318249336400