Prime p₀= 2497800296743303997 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2497799174934078311	0 38 48 50 90 102 116 150 158 192 206 218 258 260 270 308	-1121809225686
STPT(10)	2497799443858894001	0 2 30 32 78 80 126 128 156 158	-852884409996
SPT(16)	2497799510158357411	0 12 42 58 76 88 102 138 160 196 210 222 240 256 286 298	-786584946586
SPT(16)	2497799674636577473	0 30 78 84 94 130 144 214 294 364 378 414 424 430 478 508	-622106726524
STPT(10)	2497799998827204737	0 2 12 14 42 44 72 74 84 86	-297916099260
SPT(16)	2497800031337332237	0 22 40 64 66 102 106 126 130 150 154 190 192 216 234 256	-265405971760
SPT(16)	2497800456969621599	0 20 48 68 78 80 158 162 248 252 330 332 342 362 390 410	160226317602
STPT(10)	2497801262885263607	0 2 24 26 42 44 60 62 84 86	966141959610
STPT(10)	2497801792521637097	0 2 12 14 42 44 72 74 84 86	1495778333100
SPT(16)	2497801909493191841	0 8 18 38 60 78 140 176 192 228 290 308 330 350 360 368	1612749887844
SPT(16)	2497801996310068111	0 6 10 60 66 76 88 132 136 180 192 202 208 258 262 268	1699566764114