Prime p₀= 2726559415033698857 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: Roadranner
db: batch=82, k=10, 2 28 2 10 2

STPT(12)	2726558590950922529	0 2 72 74 102 104 138 140 168 170 240 242	-824082776328
SPT(16)	2726558788140041689	0 28 48 64 70 84 118 174 184 240 274 288 294 310 330 358	-626893657168
STPT(10)	2726559057166823909	0 2 30 32 60 62 90 92 120 122	-357866874948
SPT(16)	2726559188807668189	0 148 150 210 222 240 282 292 348 358 400 418 430 490 492 640	-226226030668
SPT(16)	2726559250560010387	0 12 30 36 70 90 130 142 144 156 196 216 250 256 274 286	-164473688470
TPT(14)	2726559301255069199	0 2 132 134 192 194 210 212 528 530 570 572 600 602	-113778629658
SPT(16)	2726559663258453349	0 52 54 84 90 94 130 162 220 252 288 292 298 328 330 382	248224754492
SPT(16)	2726559675773636933	0 6 74 80 98 114 128 146 318 336 350 366 384 390 458 464	260739938076
STPT(10)	2726559773636866589	0 2 78 80 120 122 162 164 240 242	358603167732
STPT(10)	2726560025866385237	0 2 60 62 72 74 84 86 144 146	610832686380
TPT(14)	2726560418194103759	0 2 78 80 90 92 132 134 162 164 210 212 228 230	1003160404902