Prime p₀= 2858424806857717577 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)	2858423943241788161	0 6 8 30 50 92 120 188 270 338 366 408 428 450 452 458	-863615929416
STPT(10)	2858424189696461591	0 2 6 8 18 20 30 32 36 38	-617161255986
SPT(16)	2858424388191099901	0 18 66 70 88 96 106 148 150 192 202 210 228 232 280 298	-418666617676
SPT(16)	2858424410258326913	0 38 90 138 168 224 248 266 288 306 330 386 416 464 516 554	-396599390664
SPT(16)	2858424746160934211	0 6 50 60 62 98 192 252 266 326 420 456 458 468 512 518	-60696783366
STPT(10)	2858424780846551129	0 2 12 14 90 92 168 170 180 182	-26011166448
SPT(16)	2858424902921635693	0 6 18 64 78 94 120 126 178 184 210 226 240 286 298 304	96063918116
SPT(16)	2858425146879700009	0 10 34 40 54 84 94 112 132 150 160 190 204 210 234 244	340021982432
STPT(10)	2858425492997149847	0 2 90 92 102 104 114 116 204 206	686139432270
SPT(16)	2858425571716469527	0 40 70 82 106 112 204 222 304 322 414 420 444 456 486 526	764858751950
STPT(10)	2858425756192436369	0 2 42 44 60 62 78 80 120 122	949334718792