Prime p₀= 2356321687641565079 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: herby44
db: batch=81, k=10, 2 40 2 16 2

STPT(10)	2356320556906752641	0 2 6 8 18 20 30 32 36 38	-1130734812438
STPT(10)	2356320598635313391	0 2 6 8 48 50 90 92 96 98	-1089006251688
SPT(16)	2356320653421326717	0 26 32 42 60 86 110 126 140 156 180 206 224 234 240 266	-1034220238362
STPT(10)	2356321262770387877	0 2 30 32 42 44 54 56 84 86	-424871177202
STPT(10)	2356321537172817029	0 2 12 14 90 92 168 170 180 182	-150468748050
STPT(10)	2356321644564869621	0 2 6 8 48 50 90 92 96 98	-43076695458
SPT(16)	2356321946869569649	0 18 22 34 64 78 102 120 202 220 244 258 288 300 304 322	259228004570
SPT(16)	2356322092716754879	0 10 48 78 90 112 168 202 210 244 300 322 334 364 402 412	405075189800
SPT(16)	2356322109296517911	0 6 8 66 96 128 146 150 278 282 300 332 362 420 422 428	421654952832
SPT(16)	2356322159129663821	0 52 66 82 90 126 132 150 178 196 202 238 246 262 276 328	471488098742
STPT(10)	2356322555525074679	0 2 48 50 90 92 132 134 180 182	867883509600