Prime p₀= 978966577060554947 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Spectrum
db: batch=76, k=10, 2 10 2 58 2

SPT(16)	978965494570913617	0 4 22 42 66 70 82 124 132 174 186 190 214 234 252 256	-1082489641330
STPT(10)	978965638621787891	0 2 6 8 48 50 90 92 96 98	-938438767056
SPT(16)	978965865385074443	0 18 30 44 60 74 90 120 128 158 174 188 204 218 230 248	-711675480504
SPT(16)	978966227587991039	0 8 20 92 140 144 150 168 284 302 308 312 360 432 444 452	-349472563908
SPT(16)	978966370431613847	0 2 12 24 44 56 96 126 260 290 330 342 362 374 384 386	-206628941100
STPT(10)	978966458915766491	0 2 30 32 78 80 126 128 156 158	-118144788456
SPT(16)	978967202043461173	0 4 30 36 48 78 90 100 144 154 166 196 208 214 240 244	624982906226
STPT(10)	978967498788904577	0 2 30 32 42 44 54 56 84 86	921728349630
STPT(10)	978967801591836767	0 2 12 14 42 44 72 74 84 86	1224531281820
STPT(12)	978967815426731267	0 2 12 14 54 56 90 92 132 134 144 146	1238366176320
STPT(10)	978967928165172311	0 2 36 38 78 80 120 122 156 158	1351104617364