Prime p₀= 2501408333680417487 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: Groo
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2501407340933405501	0 2 36 38 78 80 120 122 156 158	-992747011986
STPT(10)	2501407342269004859	0 2 18 20 30 32 42 44 60 62	-991411412628
TPT(14)	2501407501911690221	0 2 66 68 90 92 108 110 180 182 300 302 306 308	-831768727266
SPT(16)	2501407534039542833	0 20 80 90 146 158 174 224 420 470 486 498 554 564 624 644	-799640874654
SPT(16)	2501407758394363997	0 24 62 66 104 114 132 146 150 164 182 192 230 234 272 296	-575286053490
SPT(16)	2501408175942572159	0 2 32 42 60 170 182 200 222 240 252 362 380 390 420 422	-157737845328
SPT(16)	2501408552915338301	0 2 20 96 110 138 146 152 156 162 170 198 212 288 306 308	219234920814
STPT(10)	2501408803410246407	0 2 30 32 42 44 54 56 84 86	469729828920
TPT(14)	2501408887789086311	0 2 36 38 150 152 210 212 288 290 306 308 348 350	554108668824
STPT(10)	2501408910075176081	0 2 36 38 78 80 120 122 156 158	576394758594
STPT(10)	2501409167895148739	0 2 42 44 90 92 138 140 180 182	834214731252