Prime p₀= 1032618562112537261 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Dr Who Fan
db: batch=76, k=10, 2 34 2 40 2

SPT(13)	1032617735117271881	0 12 42 90 96 132 156 180 216 222 270 300 312	-826995265380
SPT(16)	1032617849359165841	0 2 18 72 90 102 116 122 126 132 146 158 176 230 246 248	-712753371420
STPT(10)	1032617969130844037	0 2 30 32 42 44 54 56 84 86	-592981693224
SPT(16)	1032618016156260881	0 12 36 42 86 92 146 152 156 162 216 222 266 272 296 308	-545956276380
STPT(10)	1032618158882063189	0 2 42 44 60 62 78 80 120 122	-403230474072
TPT(14)	1032618196705454339	0 2 12 14 78 80 192 194 198 200 288 290 378 380	-365407082922
STPT(10)	1032618633589903037	0 2 12 14 42 44 72 74 84 86	71477365776
STPT(10)	1032618662270567039	0 2 48 50 90 92 132 134 180 182	100158029778
STPT(10)	1032619574182614701	0 2 6 8 48 50 90 92 96 98	1012070077440
SPT(16)	1032619752082639159	0 54 82 112 118 124 138 178 234 274 288 294 300 330 358 412	1189970101898
STPT(10)	1032619928758877729	0 2 48 50 90 92 132 134 180 182	1366646340468