Prime p₀= 2796546654846770867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: gemini8
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2796545942341714393	0 108 138 160 174 186 208 244 270 306 328 340 354 376 406 514	-712505056474
STPT(10)	2796546500016126839	0 2 42 44 60 62 78 80 120 122	-154830644028
STPT(10)	2796546502802527829	0 2 12 14 90 92 168 170 180 182	-152044243038
SPT(16)	2796546539288517493	0 30 34 60 64 84 118 126 148 156 190 210 214 240 244 274	-115558253374
SPT(16)	2796546570301043401	0 28 36 48 88 100 150 162 226 238 288 300 340 352 360 388	-84545727466
STPT(10)	2796546570351990647	0 2 42 44 72 74 102 104 144 146	-84494780220
SPT(16)	2796547218229492543	0 4 30 40 58 78 88 114 154 180 190 210 228 238 264 268	563382721676
TPT(14)	2796547827868567457	0 2 42 44 84 86 102 104 144 146 150 152 180 182	1173021796590
SPT(16)	2796548383463375813	0 18 26 38 96 114 128 156 308 336 350 368 426 438 446 464	1728616604946
STPT(10)	2796548429866100561	0 2 36 38 78 80 120 122 156 158	1775019329694
STPT(10)	2796549067530522149	0 2 18 20 30 32 42 44 60 62	2412683751282