Prime p₀= 2956992370326651737 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: [SG-FC] hl
db: batch=82, k=10, 2 52 2 76 2

STPT(10)	2956991386954982471	0 2 6 8 48 50 90 92 96 98	-983371669266
SPT(16)	2956991387398238753	0 78 98 120 168 180 188 198 236 246 254 266 314 336 356 434	-982928412984
SPT(16)	2956991430104038321	0 18 40 60 66 70 78 96 220 238 246 250 256 276 298 316	-940222613416
STPT(10)	2956991855920425077	0 2 42 44 72 74 102 104 144 146	-514406226660
SPT(20)	2956992004488361891	0 22 42 46 76 90 142 148 178 280 528 630 660 666 718 732 762 766 786 808	-365838289846
STPT(10)	2956992107763137999	0 2 18 20 60 62 102 104 120 122	-262563513738
SPT(16)	2956992381683918647	0 72 114 132 156 166 172 174 262 264 270 280 304 322 364 436	11357266910
STPT(10)	2956992458338282757	0 2 30 32 42 44 54 56 84 86	88011631020
STPT(10)	2956992644100347681	0 2 6 8 48 50 90 92 96 98	273773695944
STPT(10)	2956993083005107871	0 2 6 8 48 50 90 92 96 98	712678456134
SPT(16)	2956993523142727897	0 70 76 82 90 112 132 156 160 184 204 226 234 240 246 316	1152816076160