Prime p₀= 2084422609278816797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: [SG-2W]Kurzer
db: batch=80, k=10, 2 10 2 58 2

SPT(16)	2084421078051715211	0 26 32 56 68 92 98 110 168 180 186 210 222 246 252 278	-1531227101586
SPT(16)	2084421485086471679	0 12 42 68 78 80 110 144 158 192 222 224 234 260 290 302	-1124192345118
STPT(10)	2084421977979365081	0 2 30 32 78 80 126 128 156 158	-631299451716
SPT(16)	2084422019065063589	0 20 48 60 84 90 108 150 158 200 218 224 248 260 288 308	-590213753208
STPT(10)	2084422025409686507	0 2 30 32 42 44 54 56 84 86	-583869130290
SPT(16)	2084422471829527097	0 24 36 42 140 156 204 210 296 302 350 366 464 470 482 506	-137449289700
TPT(14)	2084422854830205677	0 2 30 32 144 146 324 326 474 476 492 494 522 524	245551388880
STPT(10)	2084423115351554189	0 2 42 44 60 62 78 80 120 122	506072737392
STPT(10)	2084423169812938697	0 2 12 14 42 44 72 74 84 86	560534121900
STPT(10)	2084423258835073097	0 2 30 32 42 44 54 56 84 86	649556256300
SPT(16)	2084423710541102041	0 28 82 108 180 220 222 228 262 268 270 310 382 408 462 490	1101262285244