Prime p₀= 1585925207941543211 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: emoga
db: batch=78, k=10, 2 64 2 70 2

SPT(16)	1585923997149685859	0 8 42 78 80 92 108 120 122 134 150 162 164 200 234 242	-1210791857352
SPT(16)	1585924315912804397	0 26 96 144 150 164 176 182 204 210 222 236 242 290 360 386	-892028738814
STPT(10)	1585924588841904587	0 2 42 44 132 134 222 224 264 266	-619099638624
SPT(16)	1585924620579465791	0 18 42 50 98 102 108 122 126 140 146 150 198 206 230 248	-587362077420
SPT(16)	1585924990781755399	0 10 12 102 150 202 220 252 268 300 318 370 418 508 510 520	-217159787812
TPT(14)	1585925059841138837	0 2 30 32 84 86 120 122 144 146 174 176 300 302	-148100404374
TPT(14)	1585925234626265717	0 2 114 116 252 254 270 272 324 326 420 422 480 482	26684722506
SPT(18)	1585926336674364467	0 30 74 116 126 132 156 216 224 312 320 380 404 410 420 462 506 536	1128732821256
SPT(16)	1585926354083822291	0 2 6 32 66 126 168 228 230 290 332 392 426 452 456 458	1146142279080
STPT(10)	1585926437837188451	0 2 156 158 168 170 180 182 336 338	1229895645240
STPT(10)	1585926735259524137	0 2 30 32 42 44 54 56 84 86	1527317980926