Prime p₀= 1069261071719132231 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: Theadalus
db: batch=76, k=10, 2 34 2 40 2

SPT(13)	1069260031400054071	0 12 30 42 96 132 156 180 216 270 282 300 312	-1040319078160
STPT(10)	1069260090317518217	0 2 24 26 42 44 60 62 84 86	-981401614014
SPT(16)	1069260341742539117	0 26 54 86 132 134 152 164 222 234 252 254 300 332 360 386	-729976593114
SPT(16)	1069260556715281691	0 56 80 90 98 116 132 186 272 326 342 360 368 378 402 458	-515003850540
STPT(10)	1069260843173647721	0 2 36 38 78 80 120 122 156 158	-228545484510
STPT(10)	1069261023203972741	0 2 6 8 18 20 30 32 36 38	-48515159490
SPT(16)	1069261649956201783	0 6 34 48 70 78 90 130 144 184 196 204 226 240 268 274	578237069552
SPT(16)	1069261930448489893	0 10 16 58 78 84 100 126 148 174 190 196 216 258 264 274	858729357662
SPT(16)	1069262114260847971	0 10 22 36 58 60 76 78 100 102 118 120 142 156 168 178	1042541715740
TPT(14)	1069262363373189299	0 2 18 20 42 44 108 110 150 152 210 212 240 242	1291654057068
STPT(10)	1069262472013870949	0 2 12 14 90 92 168 170 180 182	1400294738718