Prime p₀= 1458630425001377669 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Spectrum
db: batch=78, k=10, 2 16 2 10 2

SPT(16)	1458628361730354943	0 18 46 58 60 78 100 120 196 216 238 256 258 270 298 316	-2063271022726
STPT(10)	1458628369207245917	0 2 90 92 102 104 114 116 204 206	-2055794131752
SPT(16)	1458628818180323611	0 12 30 42 48 66 70 72 76 78 82 100 106 118 136 148	-1606821054058
STPT(10)	1458628941133373027	0 2 42 44 72 74 102 104 144 146	-1483868004642
STPT(10)	1458629190531799409	0 2 12 14 30 32 48 50 60 62	-1234469578260
STPT(10)	1458629432413408427	0 2 12 14 72 74 132 134 144 146	-992587969242
STPT(10)	1458630748923349889	0 2 18 20 30 32 42 44 60 62	323921972220
SPT(16)	1458630761082378577	0 12 46 70 72 106 130 166 210 246 270 304 306 330 364 376	336081000908
SPT(16)	1458630945677393599	0 40 48 88 90 100 118 124 144 150 168 178 180 220 228 268	520676015930
STPT(10)	1458631035808204397	0 2 12 14 42 44 72 74 84 86	610806826728
STPT(10)	1458631752084902147	0 2 30 32 42 44 54 56 84 86	1327083524478