Prime p₀= 2004334113492696449 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: 122
Found by: matsu_pl
db: batch=80, k=10, 2 46 2 10 2

SPT(16)	2004332308135281671	0 8 26 50 86 96 110 122 126 138 152 162 198 222 240 248	-1805357414778
STPT(10)	2004332519939828129	0 2 18 20 60 62 102 104 120 122	-1593552868320
STPT(10)	2004332865441514589	0 2 42 44 60 62 78 80 120 122	-1248051181860
SPT(16)	2004333334016780399	0 24 48 62 90 114 122 138 224 240 248 272 300 314 338 362	-779475916050
SPT(16)	2004333902480576311	0 12 22 28 60 72 100 108 142 150 178 190 222 228 238 250	-211012120138
STPT(10)	2004333975971103767	0 2 42 44 72 74 102 104 144 146	-137521592682
SPT(16)	2004334172156795767	0 12 54 106 114 142 144 190 246 292 294 322 330 382 424 436	58664099318
SPT(16)	2004334265415307129	0 94 100 118 124 150 178 198 244 264 292 318 324 342 348 442	151922610680
STPT(10)	2004334269942890729	0 2 18 20 30 32 42 44 60 62	156450194280
SPT(16)	2004335050806154999	0 28 48 58 64 78 84 88 144 148 154 168 174 184 204 232	937313458550
TPT(14)	2004335108328445271	0 2 30 32 36 38 108 110 150 152 168 170 276 278	994835748822