Prime p₀= 1320082567534696907 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: Megacruncher
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1320079896475465649	0 2 18 20 30 32 42 44 60 62	-2671059231258
SPT(18)	1320080379075261851	0 32 38 62 78 116 146 168 176 402 410 432 462 500 516 540 546 578	-2188459435056
STPT(10)	1320082005921563627	0 2 30 32 42 44 54 56 84 86	-561613133280
TPT(14)	1320082318298189357	0 2 30 32 90 92 300 302 312 314 330 332 372 374	-249236507550
STPT(12)	1320082504499938379	0 2 12 14 30 32 72 74 90 92 102 104	-63034758528
SPT(16)	1320082524363751789	0 4 70 102 120 124 132 138 154 160 168 172 190 222 288 292	-43170945118
SPT(16)	1320082761078658321	0 42 52 72 108 112 150 162 238 250 288 292 328 348 358 400	193543961414
SPT(16)	1320082769975383151	0 2 12 30 48 56 62 66 152 156 162 170 188 206 216 218	202440686244
STPT(10)	1320082790472056927	0 2 30 32 42 44 54 56 84 86	222937360020
SPT(16)	1320082997624233919	0 20 62 72 90 170 198 230 300 332 360 440 458 468 510 530	430089537012
STPT(10)	1320083202784136039	0 2 18 20 30 32 42 44 60 62	635249439132