Prime p₀= 1022740002084893759 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: stoneageman
db: batch=76, k=10, 2 16 2 40 2

SPT(16)	1022739219871519847	0 2 14 20 30 32 42 54 92 104 114 116 126 132 144 146	-782213373912
SPT(16)	1022739293334608467	0 10 24 34 70 76 102 156 190 244 270 276 312 322 336 346	-708750285292
SPT(16)	1022739529627857479	0 14 42 54 84 92 152 174 188 210 270 278 308 320 348 362	-472457036280
SPT(16)	1022739541203081617	0 42 54 114 152 192 212 224 252 264 284 324 362 422 434 476	-460881812142
SPT(16)	1022739680685218033	0 14 84 146 174 186 234 236 264 266 314 326 354 416 486 500	-321399675726
SPT(16)	1022739933721900291	0 28 46 72 196 198 232 258 310 336 370 372 496 522 540 568	-68362993468
STPT(10)	1022740020085965497	0 2 30 32 42 44 54 56 84 86	18001071738
TPT(14)	1022740129379110787	0 2 12 14 30 32 192 194 204 206 234 236 264 266	127294217028
SPT(16)	1022740139418730217	0 6 20 42 44 56 86 146 210 270 300 312 314 336 350 356	137333836458
STPT(10)	1022740151830601261	0 2 36 38 78 80 120 122 156 158	149745707502
STPT(10)	1022740593190406327	0 2 30 32 42 44 54 56 84 86	591105512568