Prime p₀= 976944314557281797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [SG-2W]Kurzer
db: batch=76, k=10, 2 22 2 16 2

STPT(10)	976942742509930289	0 2 18 20 30 32 42 44 60 62	-1572047351508
TPT(14)	976942897563065129	0 2 12 14 30 32 48 50 102 104 138 140 342 344	-1416994216668
SPT(16)	976943949006505241	0 12 68 72 90 158 170 182 198 210 222 290 308 312 368 380	-365550776556
STPT(10)	976943965486356191	0 2 36 38 78 80 120 122 156 158	-349070925606
STPT(10)	976944101185931687	0 2 12 14 72 74 132 134 144 146	-213371350110
TPT(14)	976944161945290601	0 2 30 32 96 98 108 110 186 188 270 272 306 308	-152611991196
SPT(16)	976944665493367721	0 8 30 36 72 86 138 152 156 170 222 236 272 278 300 308	350936085924
STPT(10)	976944720135989789	0 2 18 20 30 32 42 44 60 62	405578707992
STPT(10)	976945098869650457	0 2 30 32 42 44 54 56 84 86	784312368660
SPT(16)	976945702069213741	0 22 28 42 78 112 118 120 130 132 138 172 208 222 228 250	1387511931944
SPT(16)	976946013134549279	0 2 12 30 38 68 98 152 210 264 294 324 332 350 360 362	1698577267482