Prime p₀= 2309955027563463827 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: FritzB
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2309953186429701151	0 6 16 30 58 66 78 106 162 190 202 210 238 252 262 268	-1841133762676
TPT(14)	2309953284499279421	0 2 30 32 36 38 60 62 90 92 186 188 198 200	-1743064184406
SPT(13)	2309953791254533121	0 12 18 48 60 78 90 102 120 132 162 168 180	-1236308930706
SPT(16)	2309953960821593279	0 8 30 68 72 78 84 92 120 128 134 140 144 182 204 212	-1066741870548
SPT(16)	2309954377934733781	0 12 52 60 70 72 82 138 142 198 208 210 220 228 268 280	-649628730046
STPT(10)	2309954915156339777	0 2 30 32 42 44 54 56 84 86	-112407124050
STPT(10)	2309955076336562531	0 2 30 32 60 62 90 92 120 122	48773098704
SPT(16)	2309955247383356821	0 10 28 42 78 138 160 162 208 210 232 292 328 342 360 370	219819892994
STPT(10)	2309955453528909881	0 2 30 32 60 62 90 92 120 122	425965446054
STPT(10)	2309955543868816841	0 2 6 8 48 50 90 92 96 98	516305353014
SPT(16)	2309955682384380139	0 40 48 54 84 90 120 130 162 172 202 208 238 244 252 292	654820916312