Prime p₀= 2125769318181222587 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: Donn Pike (USAF Ret)
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2125769154342712243	0 28 88 136 154 156 166 178 186 198 208 210 228 276 336 364	-163838510344
SPT(16)	2125769217399701717	0 42 60 72 110 140 162 174 182 194 216 246 284 296 314 356	-100781520870
SPT(16)	2125769277625277803	0 18 46 78 106 126 138 150 166 178 190 210 238 270 298 316	-40555944784
SPT(16)	2125769293300083283	0 10 30 46 58 88 90 118 168 196 198 228 240 256 276 286	-24881139304
SPT(16)	2125769306566163771	0 2 30 42 62 102 116 126 146 156 170 210 230 242 270 272	-11615058816
STPT(10)	2125769307939270689	0 2 48 50 90 92 132 134 180 182	-10241951898
SPT(16)	2125770732604077191	0 48 80 86 110 122 150 168 320 338 366 378 402 408 440 488	1414422854604
TPT(14)	2125770735325244897	0 2 24 26 162 164 264 266 282 284 372 374 390 392	1417144022310
SPT(16)	2125770861657512141	0 30 62 140 146 176 210 212 216 218 252 282 288 366 398 428	1543476289554
SPT(16)	2125771124992324237	0 10 36 42 60 72 94 96 280 282 304 316 334 340 366 376	1806811101650
SPT(16)	2125771413121317067	0 40 42 52 82 96 120 144 172 196 220 234 264 274 276 316	2094940094480