Prime p₀= 2147455944784858007 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 40 2 76 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 180 182 222 224 282 284
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 284
Found by: Landjunge
db: batch=80, k=12, 2 58 2 40 2 76

TPT(14)	2147454705446757851	0 2 18 20 48 50 138 140 156 158 180 182 300 302	-1239338100156
SPT(16)	2147454799053089761	0 22 28 42 58 76 138 162 286 310 372 390 406 420 426 448	-1145731768246
SPT(16)	2147455026554311723	0 28 34 36 96 148 174 198 256 280 306 358 418 420 426 454	-918230546284
SPT(16)	2147455089554141713	0 24 48 66 108 118 198 238 306 346 426 436 478 496 520 544	-855230716294
STPT(10)	2147455438050615941	0 2 96 98 108 110 120 122 216 218	-506734242066
STPT(10)	2147455629580948397	0 2 60 62 72 74 84 86 144 146	-315203909610
SPT(16)	2147456279069479163	0 30 66 104 108 114 170 216 368 414 470 476 480 518 554 584	334284621156
STPT(10)	2147456645563891787	0 2 30 32 72 74 114 116 144 146	700779033780
STPT(10)	2147457815576767427	0 2 30 32 42 44 54 56 84 86	1870791909420
SPT(16)	2147457865850776399	0 4 64 202 238 240 250 258 364 372 382 384 420 558 618 622	1921065918392
SPT(16)	2147457882271370159	0 32 50 60 98 108 144 242 270 368 404 414 452 462 480 512	1937486512152