Prime p₀= 2005752430111308059 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: Dingo
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2005751058861635933	0 26 44 56 78 84 96 116 138 158 170 176 198 210 228 254	-1371249672126
STPT(10)	2005751116448725739	0 2 42 44 60 62 78 80 120 122	-1313662582320
TPT(14)	2005751413640101451	0 2 18 20 78 80 120 122 126 128 156 158 198 200	-1016471206608
STPT(10)	2005751557474722821	0 2 30 32 78 80 126 128 156 158	-872636585238
SPT(16)	2005752094343984869	0 4 10 54 60 70 78 88 120 130 138 148 154 198 204 208	-335767323190
SPT(16)	2005752141293286439	0 88 124 130 174 214 238 348 364 474 498 538 582 588 624 712	-288818021620
SPT(16)	2005752523476684937	0 10 34 40 54 82 120 132 142 154 192 220 234 240 264 274	93365376878
STPT(10)	2005752918670453031	0 2 30 32 78 80 126 128 156 158	488559144972
SPT(16)	2005752922813470353	0 54 80 96 110 134 150 180 230 260 276 300 314 330 356 410	492702162294
STPT(10)	2005753182401036639	0 2 18 20 30 32 42 44 60 62	752289728580
STPT(10)	2005753320703657697	0 2 12 14 42 44 72 74 84 86	890592349638