Prime p₀= 1024733196444799757 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: stoneageman
db: batch=76, k=10, 2 22 2 16 2

TPT(14)	1024731879980110961	0 2 96 98 126 128 168 170 198 200 240 242 246 248	-1316464688796
SPT(16)	1024732271016583859	0 92 120 174 188 192 234 270 272 308 350 354 368 422 450 542	-925428215898
SPT(16)	1024732320039350711	0 8 48 92 98 126 218 272 426 480 572 600 606 650 690 698	-876405449046
SPT(16)	1024732623772260979	0 64 132 154 160 174 210 258 274 322 358 372 378 400 468 532	-572672538778
TPT(14)	1024732694572692431	0 2 18 20 30 32 126 128 216 218 228 230 240 242	-501872107326
SPT(16)	1024732953612714509	0 14 30 42 60 74 98 122 150 174 198 212 230 242 258 272	-242832085248
SPT(16)	1024733516318655061	0 10 42 70 72 76 198 202 336 340 462 466 468 496 528 538	319873855304
STPT(10)	1024733829119864837	0 2 30 32 42 44 54 56 84 86	632675065080
SPT(20)	1024733917258903591	0 48 60 70 78 90 102 108 130 132 148 150 172 178 190 202 210 220 232 280	720814103834
SPT(16)	1024734231295616729	0 12 18 20 60 84 132 158 174 200 248 272 312 314 320 332	1034850816972
SPT(16)	1024734474561030769	0 18 42 54 70 72 100 154 198 252 280 282 298 310 334 352	1278116231012