Prime p₀= 2596491549905204849 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: RFGuy_KCCO
db: batch=82, k=10, 2 40 2 16 2

STPT(10)	2596490077528441091	0 2 6 8 48 50 90 92 96 98	-1472376763758
SPT(16)	2596490409745665709	0 48 64 72 112 132 168 174 178 184 220 240 280 288 304 352	-1140159539140
SPT(16)	2596490498408088019	0 12 52 100 112 138 160 162 238 240 262 288 300 348 388 400	-1051497116830
STPT(10)	2596491030781574027	0 2 90 92 192 194 294 296 384 386	-519123630822
STPT(10)	2596491045591188687	0 2 30 32 42 44 54 56 84 86	-504314016162
STPT(10)	2596491511558458359	0 2 18 20 30 32 42 44 60 62	-38346746490
SPT(16)	2596491598978495157	0 66 90 144 146 170 200 246 254 300 330 354 356 410 434 500	49073290308
TPT(14)	2596491716500191329	0 2 72 74 108 110 138 140 150 152 210 212 282 284	166594986480
SPT(16)	2596492044410526677	0 20 30 122 126 140 150 174 242 266 276 290 294 386 396 416	494505321828
TPT(14)	2596492151779334267	0 2 30 32 54 56 114 116 180 182 264 266 294 296	601874129418
STPT(10)	2596492181065267361	0 2 30 32 60 62 90 92 120 122	631160062512