Prime p₀= 2181041753508336539 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Penguin
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2181040861330315547	0 12 26 80 122 140 146 150 206 210 216 234 276 330 344 356	-892178020992
STPT(10)	2181041035288933637	0 2 30 32 42 44 54 56 84 86	-718219402902
SPT(16)	2181041269367985317	0 20 24 30 42 54 80 152 252 324 350 362 374 380 384 404	-484140351222
TPT(14)	2181041388390905009	0 2 30 32 90 92 102 104 132 134 138 140 180 182	-365117431530
STPT(10)	2181041552975875391	0 2 6 8 48 50 90 92 96 98	-200532461148
SPT(16)	2181041729791237603	0 28 64 70 108 148 168 180 274 286 306 346 384 390 426 454	-23717098936
SPT(16)	2181041961336965669	0 12 20 24 38 78 108 120 122 134 164 204 218 222 230 242	207828629130
STPT(10)	2181042148043844497	0 2 24 26 42 44 60 62 84 86	394535507958
SPT(16)	2181042280850249671	0 10 22 88 148 156 186 192 226 232 262 270 330 396 408 418	527341913132
STPT(10)	2181042816287961839	0 2 48 50 90 92 132 134 180 182	1062779625300
SPT(16)	2181043420413657797	0 12 54 60 74 90 116 152 174 210 236 252 266 272 314 326	1666905321258