Prime p₀= 1269175475365252121 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: mikey
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1269174903047200883	0 60 68 84 96 138 170 180 284 294 326 368 380 396 404 464	-572318051238
STPT(10)	1269174904182110501	0 2 36 38 78 80 120 122 156 158	-571183141620
SPT(16)	1269174926137541971	0 48 58 70 108 132 142 150 220 228 238 262 300 312 322 370	-549227710150
SPT(16)	1269174937536713731	0 12 30 96 108 142 172 222 226 276 306 340 352 418 436 448	-537828538390
SPT(16)	1269175046060032151	0 120 122 126 152 186 192 206 306 320 326 360 386 390 392 512	-429305219970
SPT(16)	1269175117099024957	0 16 66 72 76 84 90 100 126 136 142 150 154 160 210 226	-358266227164
STPT(10)	1269176098005261569	0 2 12 14 30 32 48 50 60 62	622640009448
SPT(16)	1269176142104352421	0 36 46 90 112 130 132 210 232 310 312 330 352 396 406 442	666739100300
STPT(10)	1269176156597228681	0 2 6 8 48 50 90 92 96 98	681231976560
SPT(16)	1269176379604650457	0 22 36 100 154 160 166 196 210 240 246 252 306 370 384 406	904239398336
TPT(14)	1269176539290456527	0 2 12 14 54 56 132 134 150 152 174 176 252 254	1063925204406