Prime p₀= 2404362036325243997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: Orange Kid
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2404361162581848917	0 12 30 54 90 102 140 210 254 324 362 374 410 434 452 464	-873743395080
SPT(16)	2404361172090286727	0 2 6 42 50 62 86 132 134 180 204 216 224 260 264 266	-864234957270
TPT(14)	2404361392129649987	0 2 24 26 144 146 180 182 192 194 222 224 312 314	-644195594010
STPT(10)	2404361401000521629	0 2 18 20 30 32 42 44 60 62	-635324722368
SPT(16)	2404361596864004719	0 88 130 148 160 198 204 274 294 364 370 408 420 438 480 568	-439461239278
SPT(16)	2404361683276377959	0 2 12 14 38 44 60 68 114 122 138 144 168 170 180 182	-353048866038
STPT(10)	2404362061993341521	0 2 36 38 78 80 120 122 156 158	25668097524
STPT(10)	2404362306993355739	0 2 18 20 30 32 42 44 60 62	270668111742
SPT(16)	2404362640692546509	0 72 114 140 152 164 170 174 188 192 198 210 222 248 290 362	604367302512
SPT(16)	2404362711861895067	0 6 12 132 174 210 222 246 350 374 386 422 464 584 590 596	675536651070
SPT(16)	2404362726669985217	0 12 26 50 86 152 180 206 210 236 264 330 366 390 404 416	690344741220