Prime p₀= 999277621103214767 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: stoneageman
db: batch=76, k=10, 2 10 2 28 2

STPT(10)	999275448083768039	0 2 30 32 60 62 90 92 120 122	-2173019446728
STPT(10)	999275890035714251	0 2 36 38 78 80 120 122 156 158	-1731067500516
SPT(16)	999276723586292803	0 28 46 94 126 136 204 210 214 220 288 298 330 378 396 424	-897516921964
SPT(16)	999276837656941121	0 6 20 38 50 108 122 146 222 246 260 318 330 348 362 368	-783446273646
STPT(10)	999277172015574887	0 2 30 32 42 44 54 56 84 86	-449087639880
TPT(14)	999277198471434899	0 2 18 20 42 44 78 80 90 92 102 104 258 260	-422631779868
SPT(16)	999277667902444213	0 6 34 64 78 90 114 118 156 160 184 196 210 240 268 274	46799229446
STPT(10)	999277912014746207	0 2 30 32 42 44 54 56 84 86	290911531440
SPT(16)	999278117511026153	0 56 66 84 230 234 258 260 294 296 320 324 470 488 498 554	496407811386
TPT(14)	999278222580308549	0 2 30 32 60 62 72 74 132 134 168 170 222 224	601477093782
STPT(12)	999278350766383529	0 2 30 32 72 74 90 92 132 134 162 164	729663168762