Prime p₀= 2568591331126914407 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2568590374578683089	0 22 84 90 108 112 172 214 318 360 420 424 442 448 510 532	-956548231318
SPT(16)	2568590552021289823	0 16 24 48 54 70 96 118 216 238 264 280 286 310 318 334	-779105624584
SPT(16)	2568590660926664903	0 6 48 74 104 126 144 188 216 260 278 300 330 356 398 404	-670200249504
SPT(16)	2568591018008440553	0 20 36 104 108 134 140 186 248 294 300 326 330 398 414 434	-313118473854
SPT(16)	2568591053706372581	0 12 18 80 90 108 152 188 222 258 302 320 330 392 398 410	-277420541826
SPT(16)	2568591288729140287	0 40 46 72 82 90 112 120 166 174 196 204 214 240 246 286	-42397774120
SPT(16)	2568591404069532053	0 20 66 80 108 116 156 210 356 410 450 458 486 500 546 566	72942617646
TPT(14)	2568591659160053531	0 2 6 8 30 32 96 98 138 140 300 302 378 380	328033139124
SPT(16)	2568592292218141919	0 32 44 74 134 158 164 204 248 288 294 318 378 408 420 452	961091227512
STPT(10)	2568592553732539421	0 2 6 8 48 50 90 92 96 98	1222605625014
STPT(10)	2568593046062004677	0 2 60 62 102 104 144 146 204 206	1714935090270