Prime p₀= 2579644344434230817 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2579642231284367087	0 26 60 66 80 104 116 144 146 174 186 210 224 230 264 290	-2113149863730
STPT(10)	2579642354755025627	0 2 12 14 72 74 132 134 144 146	-1989679205190
SPT(16)	2579642589654730937	0 24 74 80 126 200 210 236 240 266 276 350 396 402 452 476	-1754779499880
SPT(16)	2579643461145170437	0 6 10 36 40 54 64 76 84 96 106 120 124 150 154 160	-883289060380
STPT(10)	2579643761116450079	0 2 18 20 30 32 42 44 60 62	-583317780738
STPT(10)	2579644179172351337	0 2 12 14 72 74 132 134 144 146	-165261879480
STPT(10)	2579644482999876287	0 2 30 32 72 74 114 116 144 146	138565645470
SPT(16)	2579644520592624649	0 10 22 54 114 120 168 180 262 274 322 328 388 420 432 442	176158393832
STPT(10)	2579644585769177627	0 2 30 32 42 44 54 56 84 86	241334946810
TPT(14)	2579644848455796131	0 2 36 38 90 92 108 110 126 128 138 140 150 152	504021565314
SPT(16)	2579644884012690341	0 18 56 66 78 80 128 170 198 240 288 290 302 312 350 368	539578459524