Prime p₀= 2688245180324645327 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2688243134363726879	0 2 42 44 60 62 78 80 120 122	-2045960918448
STPT(10)	2688243139543065719	0 2 18 20 30 32 42 44 60 62	-2040781579608
SPT(16)	2688243760865268401	0 8 12 32 90 122 126 138 230 242 246 278 336 356 360 368	-1419459376926
SPT(16)	2688244092156594847	0 12 42 54 66 96 102 150 166 214 220 250 262 274 304 316	-1088168050480
SPT(16)	2688244155565485553	0 24 40 64 144 148 156 196 348 388 396 400 480 504 520 544	-1024759159774
SPT(16)	2688244554057373097	0 24 36 42 44 54 62 80 96 114 122 132 134 140 152 176	-626267272230
STPT(10)	2688245265538915679	0 2 42 44 60 62 78 80 120 122	85214270352
SPT(16)	2688245349269464031	0 12 26 32 38 42 68 78 80 90 116 120 126 132 146 158	168944818704
STPT(10)	2688245657918701421	0 2 30 32 78 80 126 128 156 158	477594056094
SPT(16)	2688246181900530287	0 24 84 114 176 204 210 246 254 290 296 324 386 416 476 500	1001575884960
SPT(16)	2688246200942723723	0 14 26 30 54 56 126 150 170 194 264 266 290 294 306 320	1020618078396