Prime p₀= 2004332519939828129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Landjunge
db: batch=80, k=10, 2 16 2 40 2

SPT(16)	2004330839444216609	0 18 20 78 98 128 210 230 282 302 384 414 434 492 494 512	-1680495611520
STPT(10)	2004330893331557909	0 2 18 20 30 32 42 44 60 62	-1626608270220
SPT(16)	2004331014476610871	0 18 22 58 112 156 178 190 198 210 232 276 330 366 370 388	-1505463217258
SPT(16)	2004331627712118763	0 6 28 76 78 88 90 136 210 256 258 268 270 318 340 346	-892227709366
SPT(16)	2004331810122096527	0 24 30 66 86 174 260 294 332 366 452 540 560 596 602 626	-709817731602
SPT(16)	2004332308135281671	0 8 26 50 86 96 110 122 126 138 152 162 198 222 240 248	-211804546458
STPT(10)	2004332865441514589	0 2 42 44 60 62 78 80 120 122	345501686460
SPT(16)	2004333334016780399	0 24 48 62 90 114 122 138 224 240 248 272 300 314 338 362	814076952270
SPT(16)	2004333902480576311	0 12 22 28 60 72 100 108 142 150 178 190 222 228 238 250	1382540748182
STPT(10)	2004333975971103767	0 2 42 44 72 74 102 104 144 146	1456031275638
STPT(10)	2004334113492696449	0 2 48 50 60 62 72 74 120 122	1593552868320