Prime p₀= 2309338041497688317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2309337358848818201	0 12 26 80 96 116 122 156 236 270 276 296 312 366 380 392	-682648870116
STPT(10)	2309337528477177431	0 2 30 32 78 80 126 128 156 158	-513020510886
SPT(16)	2309337625976944477	0 12 54 70 90 120 154 162 172 180 214 244 264 280 322 334	-415520743840
SPT(16)	2309337979382659457	0 24 92 116 126 140 192 206 240 254 306 320 330 354 422 446	-62115028860
SPT(16)	2309338005930735037	0 16 24 42 66 82 84 96 100 112 114 130 154 172 180 196	-35566953280
STPT(10)	2309338026610154999	0 2 18 20 30 32 42 44 60 62	-14887533318
SPT(16)	2309338162340691577	0 64 72 76 124 130 132 142 144 154 156 162 210 214 222 286	120843003260
SPT(16)	2309338273003094629	0 10 22 52 102 162 168 190 192 214 220 280 330 360 372 382	231505406312
STPT(10)	2309339137073462309	0 2 12 14 30 32 48 50 60 62	1095575773992
STPT(10)	2309339978695587287	0 2 90 92 102 104 114 116 204 206	1937197898970
TPT(14)	2309339985079268747	0 2 60 62 90 92 180 182 210 212 240 242 270 272	1943581580430