Prime p₀= 1008202856602324709 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: Theadalus
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1008202036206286967	0 86 90 126 132 236 240 266 330 356 360 464 470 506 510 596	-820396037742
STPT(10)	1008202417189050899	0 2 12 14 30 32 48 50 60 62	-439413273810
SPT(16)	1008202421575769837	0 50 86 92 134 174 230 270 326 366 422 462 504 510 546 596	-435026554872
SPT(16)	1008202495646513443	0 6 40 48 90 106 126 138 148 160 180 196 238 246 280 286	-360955811266
STPT(10)	1008202616471099471	0 2 36 38 78 80 120 122 156 158	-240131225238
SPT(16)	1008202634264718589	0 28 60 64 78 88 114 130 198 214 240 250 264 268 300 328	-222337606120
STPT(10)	1008203004157288307	0 2 30 32 42 44 54 56 84 86	147554963598
STPT(10)	1008203005221890447	0 2 54 56 72 74 90 92 144 146	148619565738
STPT(10)	1008203055160469807	0 2 60 62 72 74 84 86 144 146	198558145098
SPT(16)	1008203138158754149	0 22 30 58 72 82 112 148 174 210 240 250 264 292 300 322	281556429440
STPT(10)	1008203437904112551	0 2 6 8 48 50 90 92 96 98	581301787842