Prime p₀= 1016558339801956571 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: HenkM
db: batch=76, k=10, 2 4 2 40 2

SPT(16)	1016557502098873781	0 8 18 36 78 146 170 176 180 186 210 278 320 338 348 356	-837703082790
SPT(16)	1016557568669537017	0 22 34 70 82 102 120 126 160 166 184 204 216 252 264 286	-771132419554
STPT(10)	1016557572282115679	0 2 12 14 30 32 48 50 60 62	-767519840892
SPT(18)	1016557885879553713	0 16 40 70 180 210 238 258 286 300 328 348 376 406 516 546 570 586	-453922402858
STPT(10)	1016558041763231879	0 2 18 20 30 32 42 44 60 62	-298038724692
STPT(10)	1016558060762956037	0 2 30 32 42 44 54 56 84 86	-279039000534
STPT(10)	1016558468989929161	0 2 6 8 18 20 30 32 36 38	129187972590
STPT(10)	1016558698315900679	0 2 42 44 60 62 78 80 120 122	358513944108
TPT(16)	1016558924270073731	0 2 30 32 66 68 120 122 150 152 156 158 198 200 288 290	584468117160
STPT(12)	1016559029623684451	0 2 36 38 48 50 78 80 90 92 126 128	689821727880
SPT(16)	1016559467438676113	0 50 66 80 96 134 138 144 200 206 210 248 264 278 294 344	1127636719542