Prime p₀= 2471969349591502721 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: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2471968756345451557	0 102 172 210 214 250 264 270 286 292 306 342 346 384 454 556	-593246051164
SPT(16)	2471969021301969157	0 12 150 154 160 166 202 234 262 294 330 336 342 346 484 496	-328289533564
SPT(16)	2471969084748364489	0 30 52 84 94 100 112 150 172 210 222 228 238 270 292 322	-264843138232
STPT(10)	2471969085095532677	0 2 30 32 72 74 114 116 144 146	-264495970044
STPT(10)	2471969267152856747	0 2 90 92 132 134 174 176 264 266	-82438645974
STPT(10)	2471969300583179597	0 2 54 56 72 74 90 92 144 146	-49008323124
SPT(16)	2471969449151747351	0 8 56 60 80 146 158 188 228 258 270 336 356 360 408 416	99560244630
SPT(16)	2471969741682051817	0 12 24 30 42 66 72 112 204 244 250 274 286 292 304 316	392090549096
STPT(10)	2471969984166686789	0 2 42 44 60 62 78 80 120 122	634575184068
SPT(16)	2471970981865905083	0 18 68 90 98 104 110 144 224 258 264 270 278 300 350 368	1632274402362
SPT(16)	2471971037806294813	0 24 48 64 150 154 166 178 246 258 270 274 360 376 400 424	1688214792092