Prime p₀= 2314761544319166359 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Orange Kid
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2314759831481439599	0 8 12 32 54 98 108 110 132 134 144 188 210 230 234 242	-1712837726760
SPT(16)	2314760336832714493	0 88 90 118 120 126 136 154 210 228 238 244 246 274 276 364	-1207486451866
SPT(16)	2314760652362424151	0 28 30 96 156 160 166 198 250 282 288 292 352 418 420 448	-891956742208
STPT(10)	2314760733454466987	0 2 30 32 42 44 54 56 84 86	-810864699372
STPT(10)	2314760788049746427	0 2 30 32 42 44 54 56 84 86	-756269419932
TPT(14)	2314761138748054637	0 2 42 44 54 56 60 62 90 92 102 104 114 116	-405571111722
SPT(16)	2314761612308329627	0 6 10 22 60 76 112 126 136 150 186 202 240 252 256 262	67989163268
TPT(14)	2314761631582815089	0 2 42 44 48 50 78 80 108 110 132 134 138 140	87263648730
SPT(16)	2314762377896919359	0 2 8 12 44 54 122 134 168 180 248 258 290 294 300 302	833577753000
SPT(16)	2314762488960644167	0 16 34 42 54 70 102 124 132 154 186 202 214 222 240 256	944641477808
STPT(10)	2314762783587982841	0 2 36 38 78 80 120 122 156 158	1239268816482