Prime p₀= 2577692652293315939 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: [SG-FC] hl
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2577691156735768769	0 12 14 54 80 108 122 132 170 180 194 222 248 288 290 302	-1495557547170
SPT(16)	2577691484668525801	0 6 10 42 60 72 112 168 220 276 316 328 346 378 382 388	-1167624790138
SPT(16)	2577691792323392803	0 16 18 60 78 84 88 106 168 186 190 196 214 256 258 274	-859969923136
STPT(10)	2577691838783658671	0 2 6 8 48 50 90 92 96 98	-813509657268
STPT(12)	2577692063922466409	0 2 18 20 42 44 48 50 72 74 90 92	-588370849530
SPT(16)	2577692573991697873	0 40 64 84 144 166 204 226 228 250 288 310 370 390 414 454	-78301618066
SPT(16)	2577692678770154849	0 8 50 60 68 72 98 180 182 264 290 294 302 312 354 362	26476838910
STPT(10)	2577692803488922121	0 2 30 32 60 62 90 92 120 122	151195606182
SPT(16)	2577692831891209933	0 4 60 124 130 138 154 174 214 234 250 258 264 328 384 388	179597893994
TPT(14)	2577693111003897539	0 2 30 32 42 44 78 80 120 122 228 230 288 290	458710581600
STPT(10)	2577693111882493271	0 2 6 8 18 20 30 32 36 38	459589177332