Prime p₀= 3027594000668425217 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: eclipse99
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	3027591821015757449	0 42 44 54 72 152 164 180 182 198 210 290 308 318 320 362	-2179652667768
STPT(10)	3027591897305483477	0 2 54 56 72 74 90 92 144 146	-2103362941740
SPT(16)	3027593009306643983	0 36 44 74 90 116 140 170 330 360 384 410 426 456 464 500	-991361781234
SPT(16)	3027593183600735623	0 16 40 76 144 156 174 178 216 220 238 250 318 354 378 394	-817067689594
SPT(16)	3027593319539042609	0 24 42 50 54 68 102 144 158 200 234 248 252 260 278 302	-681129382608
SPT(16)	3027593926416763013	0 56 66 104 144 150 200 254 270 324 374 380 420 458 468 524	-74251662204
STPT(10)	3027594040149752399	0 2 18 20 30 32 42 44 60 62	39481327182
STPT(10)	3027594201894039101	0 2 36 38 78 80 120 122 156 158	201225613884
STPT(10)	3027594231583809887	0 2 24 26 42 44 60 62 84 86	230915384670
SPT(13)	3027594253764209837	0 60 66 126 180 186 210 234 240 294 354 360 420	253095784620
STPT(10)	3027594468898142291	0 2 36 38 78 80 120 122 156 158	468229717074