Prime p₀= 2511789708705010397 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: [AF>Linux]Rogue 9
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2511788560332828971	0 6 20 38 42 90 122 132 176 186 218 266 270 288 302 308	-1148372181426
STPT(10)	2511788653247887799	0 2 30 32 60 62 90 92 120 122	-1055457122598
SPT(16)	2511789037380520889	0 24 50 92 102 120 138 144 158 164 182 200 210 252 278 302	-671324489508
SPT(16)	2511789196260616387	0 52 66 82 100 112 142 190 252 300 330 342 360 376 390 442	-512444394010
SPT(16)	2511789511095305407	0 16 42 70 72 102 114 130 246 262 274 304 306 334 360 376	-197609704990
STPT(10)	2511789665426767907	0 2 30 32 42 44 54 56 84 86	-43278242490
SPT(16)	2511790152953988757	0 16 30 60 64 90 112 126 190 204 226 252 256 286 300 316	444248978360
STPT(10)	2511790370635019741	0 2 36 38 78 80 120 122 156 158	661930009344
STPT(10)	2511790560784096817	0 2 30 32 42 44 54 56 84 86	852079086420
STPT(10)	2511790801491724187	0 2 30 32 42 44 54 56 84 86	1092786713790
STPT(10)	2511791227469819591	0 2 6 8 18 20 30 32 36 38	1518764809194