Prime p₀= 1025708516624550329 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: Theadalus
db: batch=76, k=10, 2 16 2 10 2

SPT(18)	1025707840141601651	0 26 38 62 90 128 132 156 158 180 182 206 210 248 276 300 312 338	-676482948678
STPT(10)	1025708195921799347	0 2 60 62 72 74 84 86 144 146	-320702750982
SPT(16)	1025708197493670517	0 84 94 120 156 162 172 186 190 204 214 220 256 282 292 376	-319130879812
SPT(16)	1025708244103336991	0 30 36 92 126 140 156 170 288 302 318 332 366 422 428 458	-272521213338
STPT(10)	1025708457345840407	0 2 12 14 42 44 72 74 84 86	-59278709922
TPT(16)	1025708516624550299	0 2 30 32 48 50 60 62 72 74 90 92 162 164 210 212	-30
STPT(12)	1025708696324440619	0 2 72 74 78 80 162 164 168 170 240 242	179699890290
SPT(16)	1025708920508002433	0 6 14 26 36 50 140 150 164 174 264 278 288 300 308 314	403883452104
STPT(10)	1025708928311419967	0 2 24 26 42 44 60 62 84 86	411686869638
SPT(16)	1025709228250442803	0 16 30 60 100 106 138 144 250 256 288 294 334 364 378 394	711625892474
STPT(10)	1025709321360028181	0 2 30 32 60 62 90 92 120 122	804735477852