Prime p₀= 2568387001706670887 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

TPT(16)	2568386673458080331	0 2 6 8 36 38 48 50 96 98 108 110 138 140 150 152	-328248590556
STPT(12)	2568386673458080337	0 2 30 32 42 44 90 92 102 104 132 134	-328248590550
SPT(16)	2568386698595209727	0 2 36 44 54 92 96 126 140 170 174 212 222 230 264 266	-303111461160
STPT(12)	2568386708757678449	0 2 12 14 42 44 60 62 90 92 102 104	-292948992438
SPT(16)	2568386914485052709	0 2 20 48 60 72 152 180 200 228 308 320 332 360 378 380	-87221618178
STPT(10)	2568386957464480049	0 2 18 20 60 62 102 104 120 122	-44242190838
SPT(16)	2568387099733786339	0 4 54 82 88 130 142 154 198 210 222 264 270 298 348 352	98027115452
SPT(16)	2568387134668947833	0 14 38 66 126 138 150 156 218 224 236 248 308 336 360 374	132962276946
STPT(10)	2568387354856955519	0 2 18 20 30 32 42 44 60 62	353150284632
SPT(16)	2568387656099165443	0 30 154 156 160 166 190 226 228 264 288 294 298 300 424 454	654392494556
STPT(10)	2568387695160603059	0 2 78 80 120 122 162 164 240 242	693453932172