Prime p₀= 2579717360055160667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Penguin
db: batch=82, k=10, 2 22 2 16 2

STPT(12)	2579716167660259751	0 2 30 32 60 62 138 140 168 170 198 200	-1192394900916
TPT(14)	2579716363704836051	0 2 36 38 66 68 78 80 246 248 300 302 348 350	-996350324616
TPT(14)	2579716577225788547	0 2 72 74 150 152 162 164 180 182 204 206 240 242	-782829372120
STPT(10)	2579716734535614929	0 2 12 14 90 92 168 170 180 182	-625519545738
SPT(16)	2579716743757843187	0 2 66 80 114 194 210 212 234 236 252 332 366 380 444 446	-616297317480
SPT(16)	2579717147494944071	0 62 72 98 110 156 168 182 186 200 212 258 270 296 306 368	-212560216596
SPT(16)	2579717556103646551	0 22 36 52 66 76 126 150 172 196 246 256 270 286 300 322	196048485884
STPT(10)	2579718144301968881	0 2 30 32 78 80 126 128 156 158	784246808214
SPT(16)	2579718950259500521	0 36 42 70 76 82 90 96 142 148 156 162 168 196 202 238	1590204339854
SPT(16)	2579718965463470983	0 10 84 88 118 168 196 208 216 228 256 306 336 340 414 424	1605408310316
TPT(14)	2579719456802068169	0 2 30 32 78 80 108 110 162 164 180 182 222 224	2096746907502