Prime p₀= 1267837827021612557 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: mikey
db: batch=77, k=10, 2 10 2 28 2

STPT(10)	1267836775838823011	0 2 6 8 48 50 90 92 96 98	-1051182789546
SPT(16)	1267836787222298563	0 40 54 70 96 118 168 210 244 286 336 358 384 400 414 454	-1039799313994
STPT(10)	1267836971489577659	0 2 18 20 30 32 42 44 60 62	-855532034898
SPT(16)	1267837155014959973	0 8 14 30 36 66 78 170 204 296 308 338 344 360 366 374	-672006652584
SPT(16)	1267837473189084319	0 12 30 40 58 60 70 90 112 132 142 144 162 172 190 202	-353832528238
STPT(10)	1267837762909089059	0 2 78 80 120 122 162 164 240 242	-64112523498
SPT(16)	1267838256682948019	0 12 80 138 144 150 182 192 200 210 242 248 254 312 380 392	429661335462
SPT(16)	1267838316308095093	0 58 66 106 108 178 190 198 238 246 258 328 330 370 378 436	489286482536
TPT(14)	1267838603438370239	0 2 48 50 78 80 90 92 180 182 330 332 402 404	776416757682
SPT(13)	1267838654988622553	0 18 48 78 84 90 144 198 204 210 240 270 288	827967009996
STPT(10)	1267838677000657367	0 2 12 14 72 74 132 134 144 146	849979044810