Prime p₀= 2497253015806013831 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: JayPi
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2497251742943232007	0 10 40 66 120 124 262 280 396 414 552 556 610 636 666 676	-1272862781824
STPT(10)	2497251831469567769	0 2 42 44 60 62 78 80 120 122	-1184336446062
STPT(10)	2497251833750050409	0 2 48 50 90 92 132 134 180 182	-1182055963422
SPT(16)	2497251858749202089	0 2 20 30 42 68 108 132 170 194 234 260 272 282 300 302	-1157056811742
SPT(16)	2497252278930928163	0 14 24 36 110 144 168 194 210 236 260 294 368 380 390 404	-736875085668
SPT(16)	2497252471683724879	0 22 64 82 108 138 190 262 330 402 454 484 510 528 570 592	-544122288952
TPT(14)	2497253054551184507	0 2 42 44 84 86 90 92 114 116 132 134 144 146	38745170676
TPT(14)	2497253865479691587	0 2 12 14 90 92 360 362 372 374 414 416 432 434	849673677756
SPT(16)	2497253970314221483	0 46 58 78 88 96 124 268 276 420 448 456 466 486 498 544	954508207652
SPT(16)	2497254522817847269	0 12 42 52 60 70 78 130 162 214 222 232 240 250 280 292	1507011833438
STPT(10)	2497254823574013467	0 2 30 32 42 44 54 56 84 86	1807767999636