Prime p₀= 1044530874569988929 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: aendgraend
db: batch=76, k=10, 2 10 2 16 2

SPT(16)	1044529473258179291	0 6 18 26 48 56 66 78 80 92 102 110 132 140 152 158	-1401311809638
STPT(12)	1044529702749115067	0 2 42 44 60 62 114 116 132 134 174 176	-1171820873862
STPT(10)	1044530030496299447	0 2 60 62 72 74 84 86 144 146	-844073689482
SPT(16)	1044530174737433897	0 6 14 32 36 62 66 126 140 200 204 230 234 252 260 266	-699832555032
SPT(16)	1044530479030410917	0 26 32 42 56 90 122 146 150 174 206 240 254 264 270 296	-395539578012
SPT(16)	1044530669945220649	0 24 34 52 88 142 184 192 220 228 270 324 360 378 388 412	-204624768280
TPT(14)	1044531010639191371	0 2 30 32 48 50 60 62 90 92 228 230 288 290	136069202442
SPT(16)	1044531156172278059	0 18 24 74 80 138 150 164 168 182 194 252 258 308 314 332	281602289130
STPT(12)	1044531324974557907	0 2 12 14 42 44 60 62 90 92 102 104	450404568978
SPT(16)	1044531499271960083	0 40 48 54 60 130 138 154 234 250 258 328 334 340 348 388	624701971154
SPT(16)	1044531570610993139	0 30 44 54 90 110 122 132 230 240 252 272 308 318 332 362	696041004210