Prime p₀= 2712780889129054589 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: Roadranner
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2712779272606781429	0 2 18 20 30 32 42 44 60 62	-1616522273160
STPT(10)	2712779436510693461	0 2 6 8 18 20 30 32 36 38	-1452618361128
SPT(16)	2712779531944479911	0 30 50 62 72 92 128 162 188 222 258 278 288 300 320 350	-1357184574678
SPT(16)	2712780023581910309	0 14 44 80 114 150 158 180 212 234 242 278 312 348 378 392	-865547144280
STPT(10)	2712780150243105977	0 2 60 62 72 74 84 86 144 146	-738885948612
STPT(10)	2712780629775107789	0 2 42 44 60 62 78 80 120 122	-259353946800
SPT(16)	2712781502168172551	0 6 18 42 50 86 90 98 120 128 132 168 176 200 212 218	613039117962
TPT(14)	2712781623387281687	0 2 90 92 174 176 510 512 594 596 624 626 642 644	734258227098
SPT(16)	2712781750397477579	0 20 72 90 104 122 140 254 288 402 420 438 452 470 522 542	861268422990
STPT(10)	2712781793417352731	0 2 6 8 48 50 90 92 96 98	904288298142
SPT(16)	2712782048722039517	0 60 80 122 132 156 170 174 182 186 200 224 234 276 296 356	1159592984928