Prime p₀= 2579520113899560049 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 22 6 44 6 4 18 24 14 24 18 4 6 44 6 22 (?)
a_n: 0 22 28 72 78 82 100 124 138 162 180 184 190 234 240 262
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 262
Found by: JayPi
db: batch=82, k=16, 22 6 44 6 4 18 24 14

SPT(16)	2579518850300250631	0 66 76 82 90 106 138 160 168 190 222 238 246 252 262 328	-1263599309418
STPT(10)	2579519136271873877	0 2 54 56 72 74 90 92 144 146	-977627686172
SPT(16)	2579519426877002563	0 4 10 18 28 48 64 76 78 90 106 126 136 144 150 154	-687022557486
SPT(16)	2579519777873442853	0 10 36 66 70 106 144 148 186 190 228 264 268 298 324 334	-336026117196
STPT(10)	2579519880234904427	0 2 60 62 72 74 84 86 144 146	-233664655622
STPT(10)	2579519999155260989	0 2 42 44 60 62 78 80 120 122	-114744299060
STPT(10)	2579520467325992159	0 2 12 14 30 32 48 50 60 62	353426432110
SPT(16)	2579520734992277191	0 42 142 180 196 238 246 352 426 532 540 582 598 636 736 778	621092717142
SPT(16)	2579520743085566419	0 24 34 72 90 118 132 178 324 370 384 412 430 468 478 502	629186006370
SPT(16)	2579520896958730447	0 4 6 16 24 30 60 64 72 76 106 112 120 130 132 136	783059170398
STPT(10)	2579520931524546209	0 2 48 50 90 92 132 134 180 182	817624986160