Prime p₀= 1167692004735857309 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: HenkM
db: batch=77, k=10, 2 40 2 16 2

SPT(16)	1167689888840252513	0 26 30 36 38 120 138 168 236 266 284 366 368 374 378 404	-2115895604796
SPT(16)	1167690443628067613	0 44 50 60 150 168 170 210 248 288 290 308 398 408 414 458	-1561107789696
TPT(14)	1167690448975218851	0 2 90 92 156 158 180 182 216 218 258 260 270 272	-1555760638458
STPT(10)	1167690838836548501	0 2 138 140 168 170 198 200 336 338	-1165899308808
SPT(16)	1167691309269488431	0 10 18 22 28 36 42 46 102 106 112 120 126 130 138 148	-695466368878
STPT(10)	1167691489619918321	0 2 36 38 78 80 120 122 156 158	-515115938988
STPT(10)	1167692028240973397	0 2 30 32 42 44 54 56 84 86	23505116088
TPT(14)	1167692074087229321	0 2 66 68 78 80 96 98 138 140 156 158 210 212	69351372012
SPT(16)	1167692796914367077	0 12 32 44 92 120 162 252 254 344 386 414 462 474 494 506	792178509768
SPT(16)	1167693017711629313	0 6 14 36 56 60 78 80 84 86 104 108 128 150 158 164	1012975772004
STPT(10)	1167693377416149557	0 2 30 32 42 44 54 56 84 86	1372680292248