Prime p₀= 2846567000493419627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: paulteo
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2846566158249080131	0 16 96 102 130 196 208 258 280 330 342 408 436 442 522 538	-842244339496
STPT(10)	2846566225604653157	0 2 60 62 72 74 84 86 144 146	-774888766470
STPT(10)	2846566240187640959	0 2 18 20 30 32 42 44 60 62	-760305778668
TPT(14)	2846566306252296071	0 2 78 80 96 98 210 212 246 248 306 308 426 428	-694241123556
TPT(14)	2846566457153724749	0 2 12 14 78 80 108 110 162 164 210 212 222 224	-543339694878
STPT(10)	2846566928812231307	0 2 12 14 72 74 132 134 144 146	-71681188320
SPT(16)	2846567078557990519	0 70 72 78 124 160 210 238 294 322 372 408 454 460 462 532	78064570892
SPT(16)	2846567394588541231	0 28 58 72 76 88 102 126 142 166 180 192 196 210 240 268	394095121604
STPT(10)	2846567417919335807	0 2 54 56 72 74 90 92 144 146	417425916180
STPT(10)	2846567532112954607	0 2 24 26 42 44 60 62 84 86	531619534980
SPT(16)	2846567685133039711	0 6 42 78 106 142 210 216 232 238 306 342 370 406 442 448	684639620084