Prime p₀= 2030179082656631087 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2030176840070218373	0 20 66 80 98 108 158 176 198 216 266 276 294 308 354 374	-2242586412714
SPT(16)	2030176841453106877	0 34 100 102 150 172 180 214 222 256 264 286 334 336 402 436	-2241203524210
STPT(10)	2030177714700557129	0 2 78 80 120 122 162 164 240 242	-1367956073958
STPT(10)	2030177887403872637	0 2 12 14 72 74 132 134 144 146	-1195252758450
SPT(16)	2030178264979361311	0 12 36 42 70 100 106 112 150 156 162 192 220 226 250 262	-817677269776
STPT(10)	2030178682623239381	0 2 30 32 78 80 126 128 156 158	-400033391706
SPT(16)	2030180193464438779	0 10 12 24 70 82 114 144 190 220 252 264 310 322 324 334	1110807807692
STPT(10)	2030180212823097659	0 2 42 44 60 62 78 80 120 122	1130166466572
SPT(16)	2030180397330777473	0 14 84 96 110 116 140 144 200 204 228 234 248 260 330 344	1314674146386
STPT(10)	2030180729940916517	0 2 30 32 42 44 54 56 84 86	1647284285430
STPT(10)	2030180849470283759	0 2 18 20 30 32 42 44 60 62	1766813652672