Prime p₀= 2568673696302343967 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: RFGuy_KCCO
db: batch=82, k=10, 2 28 2 10 2

TPT(14)	2568672940884746987	0 2 30 32 42 44 54 56 102 104 132 134 144 146	-755417596980
SPT(16)	2568673052500958701	0 18 30 46 48 90 100 148 180 228 238 280 282 298 310 328	-643801385266
SPT(16)	2568673187017794553	0 6 16 36 54 138 168 198 256 286 316 400 418 438 448 454	-509284549414
SPT(16)	2568673223112185633	0 30 96 110 114 138 164 174 230 240 266 290 294 308 374 404	-473190158334
SPT(16)	2568673250389165093	0 4 40 48 66 84 96 136 168 208 220 238 256 264 300 304	-445913178874
SPT(16)	2568673562442053009	0 12 38 102 110 128 140 194 228 282 294 312 320 384 410 422	-133860290958
SPT(18)	2568673848562021313	0 24 54 98 168 170 210 218 240 248 270 278 318 320 390 434 464 488	152259677346
STPT(10)	2568674052215356541	0 2 30 32 78 80 126 128 156 158	355913012574
SPT(16)	2568674085330247259	0 24 44 50 84 120 140 164 198 222 242 278 312 318 338 362	389027903292
SPT(16)	2568674671196700977	0 42 110 140 144 152 164 170 234 240 252 260 264 294 362 404	974894357010
SPT(16)	2568674696358499523	0 36 60 98 126 168 170 186 590 606 608 650 678 716 740 776	1000056155556