Prime p₀= 2993003118461708657 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: Time_Traveler
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2993001505573090589	0 2 48 50 90 92 132 134 180 182	-1612888618068
STPT(10)	2993001507707205341	0 2 6 8 48 50 90 92 96 98	-1610754503316
SPT(16)	2993001663409060489	0 42 70 72 102 120 124 154 240 270 274 292 322 324 352 394	-1455052648168
SPT(16)	2993002168913311109	0 20 42 48 62 104 122 128 144 150 168 210 224 230 252 272	-949548397548
STPT(10)	2993002704910628027	0 2 90 92 102 104 114 116 204 206	-413551080630
SPT(16)	2993002773036518719	0 12 58 72 114 144 178 240 292 354 388 418 460 474 520 532	-345425189938
STPT(12)	2993003353297670807	0 2 12 14 42 44 132 134 162 164 174 176	234835962150
STPT(10)	2993003372862098987	0 2 30 32 42 44 54 56 84 86	254400390330
SPT(16)	2993003840627465879	0 14 48 68 90 120 134 140 168 174 188 218 240 260 294 308	722165757222
SPT(16)	2993004021006736571	0 2 8 30 38 92 126 132 206 212 246 300 308 330 336 338	902545027914
STPT(10)	2993004190294233881	0 2 6 8 108 110 210 212 216 218	1071832525224