Prime p₀= 2566803122660053799 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2566802506735589009	0 2 18 20 30 32 42 44 60 62	-615924464790
SPT(16)	2566802515428124979	0 90 92 98 108 122 132 168 272 308 318 332 342 348 350 440	-607231928820
TPT(14)	2566802523522978407	0 2 60 62 84 86 252 254 300 302 324 326 522 524	-599137075392
SPT(16)	2566802629935920209	0 10 52 72 78 100 120 124 138 142 162 184 190 210 252 262	-492724133590
SPT(16)	2566802802114670813	0 16 30 46 58 88 100 126 130 156 168 198 210 226 240 256	-320545382986
TPT(14)	2566802835425334017	0 2 30 32 42 44 72 74 114 116 150 152 222 224	-287234719782
SPT(16)	2566803192462226447	0 4 22 46 72 136 142 144 202 204 210 274 300 324 342 346	69802172648
STPT(10)	2566803198867058757	0 2 60 62 72 74 84 86 144 146	76207004958
SPT(16)	2566803229201294469	0 18 44 60 110 152 158 170 222 234 240 282 332 348 374 392	106541240670
STPT(10)	2566803332954412437	0 2 12 14 42 44 72 74 84 86	210294358638
SPT(16)	2566803430068953891	0 18 30 48 56 62 78 92 96 110 126 132 140 158 170 188	307408900092