Prime p₀= 1588898889072821267 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: emoga
db: batch=78, k=10, 2 28 2 10 2

STPT(10)	1588897991347071407	0 2 30 32 60 62 90 92 120 122	-897725749860
SPT(16)	1588898014719119683	0 24 34 60 76 96 108 130 174 196 208 228 244 270 280 304	-874353701584
STPT(10)	1588898385051767399	0 2 42 44 120 122 198 200 240 242	-504021053868
STPT(10)	1588898423296467089	0 2 30 32 120 122 210 212 240 242	-465776354178
STPT(10)	1588898547880168697	0 2 12 14 42 44 72 74 84 86	-341192652570
SPT(16)	1588898581521566191	0 28 42 52 90 108 112 126 142 156 160 178 216 226 240 268	-307551255076
SPT(16)	1588899119839845089	0 2 42 110 182 188 198 222 290 314 324 330 402 470 510 512	230767023822
TPT(14)	1588899324394799057	0 2 54 56 114 116 132 134 222 224 252 254 300 302	435321977790
SPT(16)	1588899347632647049	0 10 30 48 54 60 70 114 154 198 208 214 220 238 258 268	458559825782
SPT(16)	1588899442551879109	0 18 42 58 70 88 100 150 172 222 234 252 264 280 304 322	553479057842
SPT(16)	1588899474829054667	0 2 26 30 60 66 102 122 144 164 200 206 236 240 264 266	585756233400