Prime p₀= 2866222305226303757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2866221083428037407	0 10 24 36 46 72 100 112 144 156 184 210 220 232 246 256	-1221798266350
SPT(16)	2866221320499517481	0 8 20 42 62 92 98 120 308 330 336 366 386 408 420 428	-984726786276
STPT(10)	2866221651396354479	0 2 42 44 90 92 138 140 180 182	-653829949278
STPT(10)	2866221691409252789	0 2 18 20 30 32 42 44 60 62	-613817050968
STPT(10)	2866222206963641369	0 2 18 20 30 32 42 44 60 62	-98262662388
SPT(16)	2866222296881298541	0 16 102 106 138 142 148 156 172 180 186 190 222 226 312 328	-8345005216
STPT(10)	2866222467872221817	0 2 72 74 102 104 132 134 204 206	162645918060
SPT(16)	2866223094734752703	0 14 20 54 56 66 90 96 158 164 188 198 200 234 240 254	789508448946
SPT(16)	2866223148292454299	0 4 42 70 72 88 94 138 214 258 264 280 282 310 348 352	843066150542
TPT(14)	2866223311264837031	0 2 48 50 60 62 96 98 126 128 156 158 180 182	1006038533274
SPT(16)	2866223436689022227	0 12 42 56 86 180 192 200 276 284 296 390 420 434 464 476	1131462718470