Prime p₀= 2564758065497644559 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: JayPi
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2564756610729727879	0 58 112 114 190 232 244 264 268 288 300 342 418 420 474 532	-1454767916680
SPT(16)	2564756929390732619	0 8 14 32 50 60 90 134 138 182 212 222 240 258 264 272	-1136106911940
STPT(10)	2564757261203799197	0 2 30 32 42 44 54 56 84 86	-804293845362
SPT(16)	2564757404268500891	0 2 6 30 50 66 90 108 230 248 272 288 308 332 336 338	-661229143668
SPT(16)	2564757946380208883	0 36 38 110 120 126 140 146 168 174 188 194 204 276 278 314	-119117435676
TPT(14)	2564757990769303331	0 2 30 32 186 188 228 230 270 272 288 290 330 332	-74728341228
SPT(16)	2564758343997839411	0 6 36 50 80 86 102 116 132 146 162 168 198 212 242 248	278500194852
SPT(16)	2564758421682501367	0 16 24 30 42 70 102 124 252 274 306 334 346 352 360 376	356184856808
SPT(16)	2564758852359875971	0 16 18 28 48 70 132 148 210 226 288 310 330 340 342 358	786862231412
STPT(10)	2564758960218594089	0 2 18 20 30 32 42 44 60 62	894720949530
STPT(10)	2564759311720126247	0 2 24 26 42 44 60 62 84 86	1246222481688