Prime p₀= 865800970570575617 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: [SG-2W]Kurzer
db: batch=73, k=10, 2 28 2 10 2

STPT(10)	865800396417310769	0 2 48 50 60 62 72 74 120 122	-574153264848
TPT(14)	865800494612836457	0 2 24 26 42 44 54 56 162 164 174 176 180 182	-475957739160
SPT(16)	865800599699110501	0 10 40 60 82 88 118 130 138 150 180 186 208 228 258 268	-370871465116
SPT(16)	865800684951459773	0 8 54 80 90 98 138 140 174 176 216 224 234 260 306 314	-285619115844
TPT(14)	865800872369628191	0 2 36 38 78 80 120 122 138 140 168 170 258 260	-98200947426
STPT(10)	865800916536268637	0 2 12 14 42 44 72 74 84 86	-54034306980
SPT(16)	865801051054732469	0 8 14 24 54 92 98 102 140 144 150 188 218 228 234 242	80484156852
SPT(16)	865801071086682151	0 16 36 40 100 106 126 142 150 166 186 192 252 256 276 292	100516106534
STPT(10)	865801221601680179	0 2 12 14 30 32 48 50 60 62	251031104562
STPT(10)	865801233594948269	0 2 12 14 90 92 168 170 180 182	263024372652
SPT(16)	865801440541883827	0 34 100 150 156 172 226 234 322 330 384 400 406 456 522 556	469971308210