Prime p₀= 2147457815576767427 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2147455089554141713	0 24 48 66 108 118 198 238 306 346 426 436 478 496 520 544	-2726022625714
STPT(10)	2147455438050615941	0 2 96 98 108 110 120 122 216 218	-2377526151486
STPT(10)	2147455629580948397	0 2 60 62 72 74 84 86 144 146	-2185995819030
STPT(12)	2147455944784858007	0 2 60 62 102 104 180 182 222 224 282 284	-1870791909420
SPT(16)	2147456279069479163	0 30 66 104 108 114 170 216 368 414 470 476 480 518 554 584	-1536507288264
STPT(10)	2147456645563891787	0 2 30 32 72 74 114 116 144 146	-1170012875640
SPT(16)	2147457865850776399	0 4 64 202 238 240 250 258 364 372 382 384 420 558 618 622	50274008972
SPT(16)	2147457882271370159	0 32 50 60 98 108 144 242 270 368 404 414 452 462 480 512	66694602732
STPT(10)	2147457932788494671	0 2 36 38 78 80 120 122 156 158	117211727244
SPT(16)	2147457957786163049	0 20 24 30 42 54 62 110 144 192 200 212 224 230 234 254	142209395622
TPT(14)	2147458348054561037	0 2 84 86 114 116 150 152 192 194 402 404 420 422	532477793610