Prime p₀= 2309772651135336731 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: FritzB
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2309771832910747559	0 30 54 90 92 132 182 188 204 210 260 300 302 338 362 392	-818224589172
STPT(10)	2309771881175632187	0 2 30 32 42 44 54 56 84 86	-769959704544
STPT(10)	2309772027711886019	0 2 18 20 60 62 102 104 120 122	-623423450712
STPT(10)	2309772130021828391	0 2 6 8 108 110 210 212 216 218	-521113508340
SPT(16)	2309772131846091767	0 2 30 84 92 114 144 150 254 260 290 312 320 374 402 404	-519289244964
STPT(10)	2309772584398090709	0 2 18 20 60 62 102 104 120 122	-66737246022
STPT(10)	2309773036357234307	0 2 30 32 72 74 114 116 144 146	385221897576
SPT(16)	2309773272259903129	0 10 30 64 102 114 154 172 210 228 268 280 318 352 372 382	621124566398
SPT(16)	2309773597188082807	0 4 22 46 52 66 112 150 166 204 250 264 270 294 312 316	946052746076
TPT(14)	2309773836819719087	0 2 30 32 72 74 102 104 114 116 180 182 270 272	1185684382356
SPT(16)	2309774255969752181	0 18 32 96 98 102 128 152 156 180 206 210 212 276 290 308	1604834415450