Prime p₀= 2678441397553993457 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: [SG-2W]Kurzer
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2678439890667213089	0 18 20 104 138 140 170 198 200 228 258 260 294 378 380 398	-1506886780368
SPT(16)	2678440062209720551	0 22 36 42 52 66 106 120 172 186 226 240 250 256 270 292	-1335344272906
STPT(10)	2678440188798137579	0 2 12 14 30 32 48 50 60 62	-1208755855878
TPT(14)	2678440309709690549	0 2 48 50 72 74 78 80 102 104 258 260 420 422	-1087844302908
SPT(16)	2678440378580992843	0 6 58 90 114 130 184 226 228 270 324 340 364 396 448 454	-1018973000614
TPT(14)	2678441005043885621	0 2 78 80 126 128 150 152 156 158 168 170 180 182	-392510107836
SPT(16)	2678442015896233187	0 6 20 24 30 66 90 104 132 146 170 206 212 216 230 236	618342239730
TPT(14)	2678442193688611541	0 2 78 80 90 92 120 122 156 158 168 170 228 230	796134618084
SPT(16)	2678442908319199267	0 36 54 60 120 156 166 210 310 354 364 400 460 466 484 520	1510765205810
STPT(10)	2678443132415854589	0 2 42 44 60 62 78 80 120 122	1734861861132
SPT(16)	2678443507445368937	0 32 36 60 84 92 110 126 170 186 204 212 236 260 264 296	2109891375480