Prime p₀= 820116244612731749 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: [SG]FX
db: batch=73, k=10, 2 10 2 76 2

STPT(10)	820114842268673891	0 2 36 38 78 80 120 122 156 158	-1402344057858
STPT(10)	820114969957215797	0 2 42 44 72 74 102 104 144 146	-1274655515952
STPT(10)	820115423368875251	0 2 36 38 78 80 120 122 156 158	-821243856498
SPT(20)	820115494550275969	0 30 42 58 64 84 90 114 154 160 192 198 238 262 268 288 294 310 322 352	-750062455780
SPT(16)	820115612224523431	0 46 60 66 70 90 102 108 130 136 148 168 172 178 192 238	-632388208318
SPT(16)	820115692569186647	0 2 32 56 140 152 182 186 296 300 330 342 426 450 480 482	-552043545102
STPT(10)	820116342800633687	0 2 30 32 42 44 54 56 84 86	98187901938
SPT(16)	820116522166740823	0 10 40 66 76 100 156 166 168 178 234 258 268 294 324 334	277554009074
SPT(16)	820116619209030491	0 20 38 50 60 66 80 102 206 228 242 248 258 270 288 308	374596298742
SPT(16)	820117430772123859	0 4 42 82 88 148 174 180 232 238 264 324 330 370 408 412	1186159392110
SPT(16)	820117500638372669	0 12 14 18 62 110 150 200 252 302 342 390 434 438 440 452	1256025640920