Prime p₀= 2713715488487688857 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2713713000419103757	0 42 46 54 70 96 100 106 120 126 130 156 172 180 184 226	-2488068585100
TPT(14)	2713713960073271759	0 2 102 104 162 164 168 170 240 242 270 272 312 314	-1528414417098
SPT(16)	2713714703523739423	0 18 30 78 84 114 120 124 144 148 154 184 190 238 250 268	-784963949434
STPT(10)	2713714850411711087	0 2 30 32 42 44 54 56 84 86	-638075977770
TPT(14)	2713715160810656477	0 2 60 62 102 104 114 116 192 194 294 296 312 314	-327677032380
SPT(16)	2713715452383536383	0 16 28 34 46 84 90 198 226 334 340 378 390 396 408 424	-36104152474
SPT(16)	2713715798615208889	0 54 88 94 124 150 168 208 234 274 292 318 348 354 388 442	310127520032
SPT(16)	2713715910126103609	0 12 18 52 82 88 102 112 150 160 174 180 210 244 250 262	421638414752
SPT(16)	2713716109295350111	0 30 40 52 102 106 120 142 150 172 186 190 240 252 262 292	620807661254
TPT(14)	2713716469380403469	0 2 48 50 78 80 90 92 108 110 168 170 210 212	980892714612
STPT(10)	2713716655607028749	0 2 18 20 30 32 42 44 60 62	1167119339892