Prime p₀= 1012074197198179277 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: Stephen Uitti
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1012073299733518787	0 14 44 50 84 114 134 144 146 156 176 206 240 246 276 290	-897464660490
SPT(16)	1012073703288429961	0 22 40 48 78 246 282 298 450 466 502 670 700 708 726 748	-493909749316
STPT(10)	1012073705189797277	0 2 24 26 42 44 60 62 84 86	-492008382000
SPT(16)	1012073888487648323	0 8 120 168 228 288 344 350 354 360 416 476 536 584 696 704	-308710530954
STPT(10)	1012074124439714309	0 2 30 32 120 122 210 212 240 242	-72758464968
STPT(12)	1012074185162833487	0 2 30 32 60 62 102 104 132 134 162 164	-12035345790
SPT(16)	1012074292502873807	0 6 36 50 116 146 152 174 182 204 210 240 306 320 350 356	95304694530
SPT(16)	1012074375724075201	0 40 42 70 90 102 130 160 192 222 250 262 282 310 312 352	178525895924
STPT(10)	1012074483043282829	0 2 18 20 30 32 42 44 60 62	285845103552
STPT(10)	1012074645971988461	0 2 36 38 78 80 120 122 156 158	448773809184
SPT(16)	1012074772975860469	0 102 108 142 144 148 150 168 214 232 234 238 240 274 280 382	575777681192