Prime p₀= 2689658345416686377 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: biodoc
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2689657334252598949	0 10 22 42 54 142 154 162 172 180 192 280 292 312 324 334	-1011164087428
STPT(10)	2689657385780054321	0 2 30 32 78 80 126 128 156 158	-959636632056
STPT(10)	2689657735762884659	0 2 12 14 90 92 168 170 180 182	-609653801718
STPT(10)	2689657740856521101	0 2 6 8 18 20 30 32 36 38	-604560165276
SPT(16)	2689657774766837827	0 42 52 82 106 144 150 154 162 166 172 210 234 264 274 316	-570649848550
SPT(16)	2689657915054903693	0 4 10 18 60 94 108 154 234 280 294 328 370 378 384 388	-430361782684
SPT(16)	2689658653988533237	0 10 30 112 124 142 156 180 196 220 234 252 264 346 366 376	308571846860
TPT(14)	2689658807907685109	0 2 108 110 192 194 210 212 222 224 240 242 312 314	462490998732
STPT(10)	2689658860289278979	0 2 12 14 90 92 168 170 180 182	514872592602
STPT(12)	2689658866828780697	0 2 12 14 30 32 114 116 132 134 144 146	521412094320
STPT(10)	2689659327639990521	0 2 6 8 48 50 90 92 96 98	982223304144