Prime p₀= 3007890716386908017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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]ATA-Rolf
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	3007889263476488011	0 10 36 60 70 96 118 148 150 180 202 228 238 262 288 298	-1452910420006
SPT(16)	3007889263664597029	0 40 60 102 112 148 172 174 238 240 264 300 310 352 372 412	-1452722310988
STPT(10)	3007889519955962261	0 2 6 8 48 50 90 92 96 98	-1196430945756
STPT(10)	3007890079300201517	0 2 90 92 102 104 114 116 204 206	-637086706500
SPT(16)	3007890447209310101	0 20 36 38 60 80 108 126 140 158 186 206 228 230 246 266	-269177597916
STPT(10)	3007890685730146607	0 2 30 32 42 44 54 56 84 86	-30656761410
STPT(10)	3007890893721541181	0 2 6 8 48 50 90 92 96 98	177334633164
STPT(10)	3007892105721753917	0 2 30 32 120 122 210 212 240 242	1389334845900
SPT(16)	3007892111965351537	0 6 54 72 106 160 174 190 336 352 366 420 454 472 520 526	1395578443520
SPT(16)	3007892809405479181	0 30 40 88 132 156 172 202 306 336 352 376 420 468 478 508	2093018571164
SPT(20)	3007893237897600511	0 88 112 120 130 142 210 222 226 240 298 312 316 328 396 408 418 426 450 538	2521510692494