Prime p₀= 1578835583413116167 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: xii5ku
db: batch=78, k=10, 2 10 2 28 2

STPT(10)	1578832761320856047	0 2 30 32 42 44 54 56 84 86	-2822092260120
SPT(16)	1578832867855374347	0 20 30 32 56 66 104 144 152 192 230 240 264 266 276 296	-2715557741820
SPT(16)	1578833030659349887	0 10 16 102 136 142 190 196 270 276 324 330 364 450 456 466	-2552753766280
SPT(16)	1578834058406324959	0 10 28 64 70 78 108 142 150 184 214 222 228 264 282 292	-1525006791208
SPT(16)	1578834235402048987	0 40 42 90 112 124 150 204 220 274 300 312 334 382 384 424	-1348011067180
TPT(14)	1578835314026293889	0 2 12 14 18 20 60 62 102 104 192 194 198 200	-269386822278
SPT(16)	1578835878690503429	0 2 44 54 62 80 98 140 162 204 222 240 248 258 300 302	295277387262
STPT(10)	1578835996822322267	0 2 30 32 42 44 54 56 84 86	413409206100
STPT(10)	1578836081886208961	0 2 6 8 48 50 90 92 96 98	498473092794
SPT(16)	1578836134066853873	0 38 50 80 84 144 170 194 210 234 260 320 324 354 366 404	550653737706
STPT(10)	1578836435489756621	0 2 6 8 48 50 90 92 96 98	852076640454