Prime p₀= 1245511465197456167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Theadalus
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1245510156313748447	0 12 36 72 114 122 150 180 206 236 264 272 314 350 374 386	-1308883707720
TPT(14)	1245510329899056761	0 2 78 80 126 128 210 212 330 332 366 368 486 488	-1135298399406
SPT(18)	1245510747264212543	0 6 8 14 48 50 86 98 114 140 156 168 204 206 240 246 248 254	-717933243624
STPT(10)	1245510813934966919	0 2 18 20 30 32 42 44 60 62	-651262489248
SPT(16)	1245511038656652839	0 2 12 140 152 164 194 282 290 378 408 420 432 560 570 572	-426540803328
SPT(16)	1245511104948491971	0 10 58 78 102 126 130 148 150 168 172 196 220 240 288 298	-360248964196
SPT(16)	1245511472337444581	0 20 66 78 122 146 188 198 230 240 282 306 350 362 408 428	7139988414
SPT(13)	1245511597182749161	0 18 30 72 102 132 150 168 198 228 270 282 300	131985292994
SPT(16)	1245511739581785419	0 38 72 74 102 120 144 162 170 188 212 230 258 260 294 332	274384329252
STPT(10)	1245512119894023647	0 2 30 32 42 44 54 56 84 86	654696567480
SPT(16)	1245512437440351257	0 74 84 102 114 132 140 182 192 234 242 260 272 290 300 374	972242895090