Prime p₀= 1022780893949812367 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: stoneageman
db: batch=76, k=10, 2 28 2 10 2

STPT(12)	1022779700567784191	0 2 48 50 90 92 126 128 168 170 216 218	-1193382028176
SPT(16)	1022779960229204579	0 12 50 78 114 128 132 278 444 590 594 608 644 672 710 722	-933720607788
STPT(10)	1022780063301951917	0 2 30 32 42 44 54 56 84 86	-830647860450
STPT(10)	1022780290105248341	0 2 6 8 18 20 30 32 36 38	-603844564026
SPT(16)	1022780405636343391	0 36 46 58 66 90 142 186 202 246 298 322 330 342 352 388	-488313468976
SPT(16)	1022780607002404741	0 10 36 58 60 72 112 130 168 186 226 238 240 262 288 298	-286947407626
SPT(16)	1022781244880299627	0 10 42 72 114 130 132 136 150 154 156 172 214 244 276 286	350930487260
STPT(10)	1022781257278038077	0 2 30 32 42 44 54 56 84 86	363328225710
SPT(16)	1022781493005086429	0 30 32 44 90 98 102 114 158 170 174 182 228 240 242 272	599055274062
SPT(16)	1022781590523130153	0 34 36 70 106 108 126 148 216 238 256 258 294 328 330 364	696573317786
SPT(16)	1022781773090945911	0 60 72 138 196 208 220 222 226 228 240 252 310 376 388 448	879141133544