Prime p₀= 2256730515223015859 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Orange Kid
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2256728675701797953	0 50 60 68 78 104 116 138 266 288 300 326 336 344 354 404	-1839521217906
SPT(16)	2256729632135674769	0 42 54 72 90 108 110 150 152 192 194 212 230 248 260 302	-883087341090
TPT(14)	2256729763218032981	0 2 60 62 216 218 270 272 306 308 336 338 420 422	-752004982878
SPT(13)	2256730006745712791	0 12 72 138 192 258 300 342 408 462 528 588 600	-508477303068
STPT(12)	2256730056016690979	0 2 18 20 30 32 60 62 72 74 90 92	-459206324880
SPT(16)	2256730186946767243	0 10 18 40 54 60 66 76 138 148 154 160 174 196 204 214	-328276248616
SPT(16)	2256730837475828249	0 8 48 50 72 90 120 128 144 152 182 200 222 224 264 272	322252812390
STPT(10)	2256731198746216637	0 2 30 32 42 44 54 56 84 86	683523200778
STPT(10)	2256731458046993867	0 2 30 32 60 62 90 92 120 122	942823978008
STPT(12)	2256731918252470907	0 2 24 26 54 56 120 122 150 152 174 176	1403029455048
STPT(10)	2256732328015169699	0 2 30 32 60 62 90 92 120 122	1812792153840