Prime p₀= 2292898908006913571 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: Landjunge
db: batch=81, k=10, 2 76 2 58 2

STPT(10)	2292897783124227077	0 2 30 32 42 44 54 56 84 86	-1124882686494
SPT(16)	2292898346278138993	0 6 34 64 66 70 76 78 226 228 234 238 240 270 298 304	-561728774578
STPT(10)	2292898409407204769	0 2 42 44 60 62 78 80 120 122	-498599708802
SPT(16)	2292898540500191543	0 20 30 66 80 108 126 170 234 278 296 324 338 374 384 404	-367506722028
SPT(16)	2292898636627829149	0 12 58 84 100 112 154 160 162 168 210 222 238 264 310 322	-271379084422
STPT(10)	2292898886471921027	0 2 24 26 42 44 60 62 84 86	-21534992544
SPT(16)	2292899082508058201	0 2 8 20 60 92 102 116 132 146 156 188 228 240 246 248	174501144630
SPT(16)	2292899438655112031	0 20 56 66 108 140 180 210 218 248 288 320 362 372 408 428	530648198460
STPT(10)	2292899438750014139	0 2 12 14 90 92 168 170 180 182	530743100568
SPT(16)	2292899486501488861	0 12 22 36 40 66 112 120 142 150 196 222 226 240 250 262	578494575290
STPT(10)	2292899701721560571	0 2 6 8 48 50 90 92 96 98	793714647000