Prime p₀= 842651617682294447 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Ralfy
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	842650681616142881	0 20 30 86 108 122 140 150 188 198 216 230 252 308 318 338	-936066151566
STPT(10)	842650695101377829	0 2 18 20 30 32 42 44 60 62	-922580916618
STPT(10)	842650802218324049	0 2 18 20 30 32 42 44 60 62	-815463970398
SPT(16)	842650918871821187	0 24 36 42 44 62 90 102 104 116 144 162 164 170 182 206	-698810473260
SPT(20)	842651041585669297	0 46 144 154 226 244 280 310 336 406 414 484 510 540 576 594 666 676 774 820	-576096625150
STPT(10)	842651180249702321	0 2 36 38 78 80 120 122 156 158	-437432592126
SPT(18)	842651691140148647	0 30 42 60 86 92 114 120 150 176 206 212 234 240 266 284 296 326	73457854200
SPT(16)	842652364491154333	0 34 54 174 180 244 250 268 270 288 294 358 364 484 504 538	746808859886
STPT(10)	842652552170183939	0 2 18 20 30 32 42 44 60 62	934487889492
STPT(10)	842652839914922171	0 2 36 38 78 80 120 122 156 158	1222232627724
STPT(10)	842653058200972397	0 2 30 32 42 44 54 56 84 86	1440518677950