Prime p₀= 806802840681355937 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: scrap
db: batch=73, k=10, 2 10 2 28 2

STPT(10)	806801350842075707	0 2 24 26 42 44 60 62 84 86	-1489839280230
SPT(16)	806801410614401299	0 4 18 28 30 34 42 58 114 130 138 142 144 154 168 172	-1430066954638
SPT(16)	806801414783978947	0 4 40 42 64 76 114 132 154 172 210 222 244 246 282 286	-1425897376990
STPT(10)	806801466707726459	0 2 12 14 30 32 48 50 60 62	-1373973629478
STPT(12)	806801750930098667	0 2 42 44 72 74 132 134 162 164 204 206	-1089751257270
STPT(10)	806802493099408997	0 2 42 44 72 74 102 104 144 146	-347581946940
SPT(16)	806803110163410253	0 10 28 36 54 64 70 78 136 144 150 160 178 186 204 214	269482054316
STPT(10)	806803171457287271	0 2 36 38 78 80 120 122 156 158	330775931334
SPT(16)	806803611481392881	0 6 32 80 102 140 152 158 180 186 198 236 258 306 332 338	770800036944
STPT(10)	806803863857621027	0 2 30 32 72 74 114 116 144 146	1023176265090
STPT(10)	806803877110941107	0 2 30 32 72 74 114 116 144 146	1036429585170