Prime p₀= 4305628088622454409 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Chooka
db: batch=85, k=10, 2 10 2 76 2

STPT(10)	4305626312667629357	0 2 90 92 102 104 114 116 204 206	-1775954825052
STPT(10)	4305626731620394091	0 2 6 8 18 20 30 32 36 38	-1357002060318
SPT(16)	4305627066810036049	0 4 10 24 40 52 82 84 148 150 180 192 208 222 228 232	-1021812418360
STPT(10)	4305627373747347467	0 2 30 32 42 44 54 56 84 86	-714875106942
STPT(10)	4305627988938749897	0 2 54 56 72 74 90 92 144 146	-99683704512
SPT(16)	4305628016220013771	0 10 16 18 46 52 66 96 112 142 156 162 190 192 198 208	-72402440638
STPT(10)	4305628263296419361	0 2 30 32 78 80 126 128 156 158	174673964952
SPT(16)	4305628422541357661	0 78 80 92 102 192 206 228 260 282 296 386 396 408 410 488	333918903252
STPT(10)	4305628778000753639	0 2 18 20 60 62 102 104 120 122	689378299230
SPT(16)	4305628961474820229	0 12 34 54 64 70 112 120 172 180 222 228 238 258 280 292	872852365820
SPT(16)	4305629092549864727	0 14 26 44 102 110 134 140 156 162 186 194 252 270 282 296	1003927410318