Prime p₀= 2134593581006766359 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: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2134592132741518103	0 20 66 68 80 108 168 170 174 176 236 264 276 278 324 344	-1448265248256
SPT(16)	2134592169379130509	0 52 102 124 130 142 154 180 184 210 222 234 240 262 312 364	-1411627635850
SPT(16)	2134592502032694653	0 54 78 80 96 98 120 126 158 164 186 188 204 206 230 284	-1078974071706
SPT(16)	2134592568876918191	0 38 56 66 90 96 98 122 126 150 152 158 182 192 210 248	-1012129848168
STPT(10)	2134592627782907597	0 2 30 32 42 44 54 56 84 86	-953223858762
SPT(16)	2134593293351992871	0 12 68 72 90 110 126 158 180 212 228 248 266 270 326 338	-287654773488
TPT(14)	2134594165916296919	0 2 18 20 48 50 72 74 90 92 102 104 132 134	584909530560
SPT(16)	2134594533743499871	0 16 36 60 66 70 72 88 120 136 138 142 148 172 192 208	952736733512
STPT(10)	2134594546386726077	0 2 54 56 132 134 210 212 264 266	965379959718
SPT(16)	2134594562521831117	0 22 24 52 60 82 130 142 234 246 294 316 324 352 354 376	981515064758
STPT(10)	2134594597089495377	0 2 42 44 72 74 102 104 144 146	1016082729018