Prime p₀= 1268528455961508569 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Megacruncher
db: batch=77, k=10, 2 40 2 16 2

SPT(16)	1268525419027816363	0 16 40 66 78 166 198 228 358 388 420 508 520 546 570 586	-3036933692206
STPT(10)	1268525851670516441	0 2 30 32 60 62 90 92 120 122	-2604290992128
STPT(10)	1268527179521601689	0 2 18 20 30 32 42 44 60 62	-1276439906880
STPT(10)	1268527497382375289	0 2 12 14 90 92 168 170 180 182	-958579133280
STPT(10)	1268527795528729751	0 2 36 38 78 80 120 122 156 158	-660432778818
SPT(16)	1268528043728642219	0 12 18 78 84 120 132 180 182 230 242 278 284 344 350 362	-412232866350
SPT(16)	1268528589672199733	0 26 54 80 96 128 140 164 210 234 246 278 294 320 348 374	133710691164
STPT(10)	1268528742510589631	0 2 36 38 78 80 120 122 156 158	286549081062
SPT(16)	1268528821253473937	0 180 182 212 216 222 260 266 330 336 374 380 384 414 416 596	365291965368
TPT(16)	1268529353768740121	0 2 60 62 78 80 90 92 126 128 168 170 210 212 258 260	897807231552
SPT(16)	1268530156810264193	0 6 20 44 86 174 186 236 438 488 500 588 630 654 668 674	1700848755624