Prime p₀= 2644040629870461317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2644039749717857563	0 10 24 48 70 114 178 198 256 276 340 384 406 430 444 454	-880152603754
SPT(16)	2644040074433134939	0 24 34 52 100 112 130 198 214 282 300 312 360 378 388 412	-555437326378
TPT(14)	2644040107832711387	0 2 90 92 120 122 204 206 294 296 330 332 384 386	-522037749930
STPT(10)	2644040218890772319	0 2 48 50 60 62 72 74 120 122	-410979688998
SPT(16)	2644040523612784481	0 50 72 78 180 188 230 278 282 330 372 380 482 488 510 560	-106257676836
SPT(16)	2644040528807381173	0 10 40 66 94 106 136 148 186 198 228 240 268 294 324 334	-101063080144
SPT(16)	2644041108640225897	0 4 54 64 100 124 130 162 172 204 210 234 270 280 330 334	478769764580
STPT(10)	2644041116708887097	0 2 42 44 72 74 102 104 144 146	486838425780
SPT(16)	2644041857850293029	0 12 28 48 54 70 82 90 142 150 162 178 184 204 220 232	1227979831712
STPT(10)	2644042552854240047	0 2 42 44 72 74 102 104 144 146	1922983778730
STPT(10)	2644043102877527969	0 2 48 50 60 62 72 74 120 122	2473007066652