Prime p₀= 1304278947277516121 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-2W]Kurzer
db: batch=77, k=10, 2 4 2 10 2

STPT(10)	1304277978349830329	0 2 18 20 30 32 42 44 60 62	-968927685792
SPT(16)	1304278202878924307	0 6 14 42 146 182 212 222 224 234 264 300 404 432 440 446	-744398591814
SPT(16)	1304278544925434777	0 24 66 72 74 90 140 174 182 216 266 282 284 290 332 356	-402352081344
SPT(16)	1304278646665039159	0 4 22 64 88 130 132 192 280 340 342 384 408 450 468 472	-300612476962
SPT(16)	1304278740520930877	0 30 62 120 132 182 216 236 240 260 294 344 356 414 446 476	-206756585244
STPT(10)	1304278746252824261	0 2 6 8 108 110 210 212 216 218	-201024691860
STPT(10)	1304279129459065181	0 2 36 38 78 80 120 122 156 158	182181549060
SPT(16)	1304279210357445479	0 44 54 84 92 104 122 150 152 180 198 210 218 248 258 302	263079929358
SPT(16)	1304279221805569423	0 16 18 126 156 166 186 198 208 220 240 250 280 388 390 406	274528053302
SPT(16)	1304279755680903097	0 22 64 70 132 160 202 222 244 264 306 334 396 402 444 466	808403386976
STPT(10)	1304279765378889107	0 2 30 32 42 44 54 56 84 86	818101372986