Prime p₀= 1579247368644265259 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: crashtech
db: batch=78, k=10, 2 16 2 40 2

SPT(16)	1579246546767772349	0 18 84 90 98 132 152 162 200 210 230 264 272 278 344 362	-821876492910
STPT(10)	1579246607912385239	0 2 42 44 60 62 78 80 120 122	-760731880020
TPT(14)	1579246757593100501	0 2 6 8 36 38 66 68 90 92 96 98 120 122	-611051164758
STPT(10)	1579246775249996507	0 2 30 32 72 74 114 116 144 146	-593394268752
SPT(16)	1579246803032689027	0 34 40 54 142 144 160 202 234 276 292 294 382 396 402 436	-565611576232
STPT(10)	1579246990455849269	0 2 18 20 60 62 102 104 120 122	-378188415990
SPT(16)	1579247388690646867	0 10 30 64 82 126 150 154 162 166 190 234 252 286 306 316	20046381608
STPT(10)	1579247803583769587	0 2 72 74 102 104 132 134 204 206	434939504328
SPT(16)	1579247864814387871	0 42 60 70 90 132 136 180 208 252 256 298 318 328 346 388	496170122612
STPT(10)	1579248620522613749	0 2 42 44 60 62 78 80 120 122	1251878348490
SPT(16)	1579248669469045819	0 24 48 58 60 84 88 90 112 114 118 142 144 154 178 202	1300824780560