Prime p₀= 2561771966969685257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2561770707476192077	0 10 40 54 94 144 150 154 162 166 172 222 262 276 306 316	-1259493493180
SPT(16)	2561770973599267769	0 8 14 50 78 84 122 204 218 300 338 344 372 408 414 422	-993370417488
SPT(13)	2561771042764344211	0 36 66 78 108 126 138 150 168 198 210 240 276	-924205341046
TPT(14)	2561771076102813719	0 2 18 20 42 44 180 182 258 260 300 302 312 314	-890866871538
SPT(16)	2561771684709580009	0 118 130 148 150 154 172 198 274 300 318 322 324 342 354 472	-282260105248
STPT(10)	2561771913410485619	0 2 18 20 30 32 42 44 60 62	-53559199638
STPT(10)	2561772012732546077	0 2 60 62 102 104 144 146 204 206	45762860820
SPT(16)	2561772096400270057	0 12 22 30 40 52 82 132 142 192 222 234 244 252 262 274	129430584800
STPT(10)	2561772246242405627	0 2 30 32 72 74 114 116 144 146	279272720370
SPT(16)	2561772410136224581	0 46 66 130 132 238 246 318 340 412 420 526 528 592 612 658	443166539324
STPT(10)	2561772640863489797	0 2 42 44 72 74 102 104 144 146	673893804540