Prime p₀= 2079087939108896039 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: gemini8
db: batch=80, k=10, 2 16 2 10 2

TPT(14)	2079086947607026829	0 2 132 134 180 182 222 224 288 290 372 374 402 404	-991501869210
TPT(14)	2079087210315304067	0 2 60 62 84 86 180 182 222 224 270 272 282 284	-728793591972
TPT(14)	2079087395813444717	0 2 30 32 150 152 192 194 240 242 264 266 282 284	-543295451322
SPT(16)	2079087622893838597	0 10 46 52 96 102 192 336 340 484 574 580 624 630 666 676	-316215057442
STPT(10)	2079087795831269957	0 2 30 32 42 44 54 56 84 86	-143277626082
TPT(14)	2079087902008526921	0 2 78 80 96 98 108 110 210 212 276 278 306 308	-37100369118
STPT(10)	2079088106751150137	0 2 24 26 42 44 60 62 84 86	167642254098
SPT(16)	2079088438769181901	0 10 12 36 42 88 90 136 162 208 210 256 262 286 288 298	499660285862
SPT(16)	2079088514904387901	0 12 22 28 70 90 102 118 132 148 160 180 222 228 238 250	575795491862
SPT(16)	2079088578413262811	0 30 36 70 82 90 96 106 132 142 148 156 168 202 208 238	639304366772
STPT(10)	2079088746308397581	0 2 6 8 18 20 30 32 36 38	807199501542