Prime p₀= 2316582842998002791 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Orange Kid
db: batch=81, k=10, 2 34 2 40 2

STPT(10)	2316581095880888519	0 2 42 44 90 92 138 140 180 182	-1747117114272
SPT(16)	2316582368626577959	0 22 24 70 84 102 144 160 162 178 220 238 252 298 300 322	-474371424832
SPT(16)	2316582433619549911	0 6 18 40 46 76 88 112 186 210 222 252 258 280 292 298	-409378452880
SPT(16)	2316582543866427751	0 10 18 40 52 66 70 136 162 228 232 246 258 280 288 298	-299131575040
STPT(10)	2316582769612705331	0 2 78 80 108 110 138 140 216 218	-73385297460
SPT(16)	2316582805451045513	0 18 26 54 74 104 120 126 188 194 210 240 260 288 296 314	-37546957278
SPT(16)	2316582867888407809	0 22 48 70 84 94 132 150 172 190 228 238 252 274 300 322	24890405018
TPT(14)	2316582969011629361	0 2 96 98 138 140 156 158 330 332 348 350 378 380	126013626570
SPT(16)	2316583095411263179	0 34 64 70 72 78 88 100 102 114 124 130 132 138 168 202	252413260388
STPT(10)	2316584601579156287	0 2 30 32 42 44 54 56 84 86	1758581153496
SPT(16)	2316585049587489269	0 18 44 50 54 84 114 120 218 224 254 284 288 294 320 338	2206589486478