Prime p₀= 2101577472231311717 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: gemini8
db: batch=80, k=10, 2 22 2 16 2

STPT(12)	2101575357759470561	0 2 78 80 90 92 126 128 138 140 216 218	-2114471841156
STPT(10)	2101575974148886397	0 2 30 32 42 44 54 56 84 86	-1498082425320
STPT(10)	2101576522804071737	0 2 54 56 72 74 90 92 144 146	-949427239980
TPT(14)	2101576901375450867	0 2 30 32 42 44 54 56 60 62 84 86 90 92	-570855860850
TPT(14)	2101577098713950831	0 2 30 32 78 80 108 110 138 140 156 158 210 212	-373517360886
TPT(14)	2101577427086535107	0 2 12 14 24 26 90 92 150 152 180 182 264 266	-45144776610
STPT(10)	2101577862358570637	0 2 30 32 42 44 54 56 84 86	390127258920
STPT(10)	2101578025259091497	0 2 30 32 42 44 54 56 84 86	553027779780
STPT(10)	2101578383231400947	0 2 30 32 42 44 54 56 84 86	911000089230
SPT(16)	2101578609640031267	0 42 54 56 72 144 162 174 182 194 212 284 300 302 314 356	1137408719550
STPT(10)	2101578843089935379	0 2 18 20 30 32 42 44 60 62	1370858623662