Prime p₀= 2565433607406796307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2565432321704244241	0 72 78 82 100 132 142 196 252 306 316 348 366 370 376 448	-1285702552066
SPT(16)	2565432511196858131	0 22 48 90 118 132 136 168 190 222 226 240 268 310 336 358	-1096209938176
SPT(16)	2565432715620919927	0 46 60 94 144 160 202 216 280 294 336 352 402 436 450 496	-891785876380
STPT(10)	2565433015361135831	0 2 6 8 18 20 30 32 36 38	-592045660476
STPT(10)	2565433124603142791	0 2 6 8 48 50 90 92 96 98	-482803653516
SPT(16)	2565433382924588039	0 2 30 44 54 62 114 122 222 230 282 290 300 314 342 344	-224482208268
STPT(10)	2565433773800325887	0 2 30 32 42 44 54 56 84 86	166393529580
STPT(10)	2565434008836058181	0 2 6 8 48 50 90 92 96 98	401429261874
SPT(18)	2565434139184931669	0 18 30 44 128 132 174 182 224 288 330 338 380 384 468 482 494 512	531778135362
SPT(16)	2565434474832379429	0 24 42 48 58 108 112 118 174 180 184 234 244 250 268 292	867425583122
STPT(10)	2565434532653233919	0 2 18 20 30 32 42 44 60 62	925246437612