Prime p₀= 2292899438750014139 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2292898540500191543	0 20 30 66 80 108 126 170 234 278 296 324 338 374 384 404	-898249822596
SPT(16)	2292898636627829149	0 12 58 84 100 112 154 160 162 168 210 222 238 264 310 322	-802122184990
STPT(10)	2292898886471921027	0 2 24 26 42 44 60 62 84 86	-552278093112
STPT(10)	2292898908006913571	0 2 78 80 138 140 198 200 276 278	-530743100568
SPT(16)	2292899082508058201	0 2 8 20 60 92 102 116 132 146 156 188 228 240 246 248	-356241955938
SPT(16)	2292899438655112031	0 20 56 66 108 140 180 210 218 248 288 320 362 372 408 428	-94902108
SPT(16)	2292899486501488861	0 12 22 36 40 66 112 120 142 150 196 222 226 240 250 262	47751474722
STPT(10)	2292899701721560571	0 2 6 8 48 50 90 92 96 98	262971546432
SPT(16)	2292899795763921859	0 42 60 64 84 114 138 184 228 274 298 328 348 352 370 412	357013907720
SPT(16)	2292899880017070889	0 24 28 34 48 132 144 148 174 178 190 274 288 294 298 322	441267056750
STPT(10)	2292900233920849757	0 2 12 14 42 44 72 74 84 86	795170835618