Prime p₀= 2106837521644263797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: Landjunge
db: batch=80, k=10, 2 52 2 76 2

SPT(18)	2106836428355773097	0 14 36 74 102 144 156 162 254 312 404 410 422 464 492 530 552 566	-1093288490700
SPT(16)	2106836715676585121	0 8 26 38 56 80 98 102 116 120 138 162 180 192 210 218	-805967678676
SPT(16)	2106836728722648779	0 20 54 90 104 132 134 168 224 258 260 288 302 338 372 392	-792921615018
SPT(16)	2106837203437636543	0 16 40 60 90 154 180 186 208 214 240 304 334 354 378 394	-318206627254
STPT(10)	2106837393792814367	0 2 24 26 42 44 60 62 84 86	-127851449430
SPT(16)	2106837447574943113	0 6 18 24 60 66 90 130 174 214 238 244 280 286 298 304	-74069320684
SPT(16)	2106837595952478559	0 18 22 42 58 78 112 114 118 120 154 174 190 210 214 232	74308214762
SPT(16)	2106837672263734159	0 12 54 70 94 124 138 144 178 184 198 228 252 268 310 322	150619470362
STPT(10)	2106837805015096589	0 2 42 44 60 62 78 80 120 122	283370832792
TPT(14)	2106837846206186789	0 2 12 14 42 44 48 50 78 80 120 122 132 134	324561922992
SPT(16)	2106837917474802607	0 6 30 34 40 54 72 76 120 124 142 156 162 166 190 196	395830538810