Prime p₀= 3717671304501095717 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: SEARCHER
db: batch=84, k=10, 2 10 2 28 2

STPT(10)	3717669881226919799	0 2 18 20 30 32 42 44 60 62	-1423274175918
SPT(16)	3717669974413472729	0 2 92 150 164 224 234 240 302 308 318 378 392 450 540 542	-1330087622988
SPT(16)	3717670012830800711	0 2 6 62 80 90 132 188 210 266 308 318 336 392 396 398	-1291670295006
STPT(10)	3717670126981960319	0 2 42 44 60 62 78 80 120 122	-1177519135398
SPT(16)	3717670722054195749	0 38 50 164 194 204 212 230 282 300 308 318 348 462 474 512	-582446899968
SPT(16)	3717671115541572971	0 12 26 78 108 146 168 176 192 200 222 260 290 342 356 368	-188959522746
SPT(16)	3717671819983682789	0 12 20 54 90 128 140 170 222 252 264 302 338 372 380 392	515482587072
STPT(10)	3717671985778361927	0 2 30 32 42 44 54 56 84 86	681277266210
SPT(16)	3717672273835041911	0 2 6 12 30 42 72 78 110 116 146 158 176 182 186 188	969333946194
SPT(16)	3717672568437591991	0 12 28 30 42 76 90 118 120 148 162 196 208 210 226 238	1263936496274
STPT(10)	3717672772038198731	0 2 6 8 18 20 30 32 36 38	1467537103014