Prime p₀= 2166305979353775599 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: Penguin
db: batch=81, k=10, 2 16 2 10 2

SPT(13)	2166304283982817021	0 18 66 108 150 156 168 180 186 228 270 318 336	-1695370958578
SPT(16)	2166304676273744821	0 16 22 42 72 96 100 112 150 162 166 190 220 240 246 262	-1303080030778
SPT(16)	2166304824199286987	0 32 42 54 116 152 186 194 222 230 264 300 362 374 384 416	-1155154488612
SPT(16)	2166305180467162327	0 10 52 54 94 102 120 126 190 196 214 222 262 264 306 316	-798886613272
STPT(10)	2166305841607386509	0 2 18 20 30 32 42 44 60 62	-137746389090
STPT(10)	2166305943552703829	0 2 30 32 60 62 90 92 120 122	-35801071770
SPT(16)	2166306030025000883	0 6 18 56 84 116 144 186 218 260 288 320 348 386 398 404	50671225284
STPT(10)	2166306292334418539	0 2 48 50 90 92 132 134 180 182	312980642940
SPT(16)	2166306585395536841	0 26 48 50 78 98 116 132 236 252 270 290 318 320 342 368	606041761242
SPT(16)	2166306808439922167	0 12 24 26 60 122 182 192 194 204 264 326 360 362 374 386	829086146568
STPT(10)	2166306846722387711	0 2 66 68 138 140 210 212 276 278	867368612112