Prime p₀= 4305838376172966317 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: Chooka
db: batch=85, k=10, 2 22 2 16 2

SPT(16)	4305836734117729003	0 18 40 48 64 78 118 160 174 216 256 270 286 294 316 334	-1642055237314
TPT(14)	4305837279379748141	0 2 66 68 150 152 210 212 240 242 306 308 318 320	-1096793218176
SPT(16)	4305837358199046347	0 20 32 42 56 80 140 146 150 156 216 240 254 264 276 296	-1017973919970
STPT(10)	4305837892692902087	0 2 30 32 42 44 54 56 84 86	-483480064230
SPT(16)	4305838029308639491	0 30 70 90 148 156 166 180 226 240 250 258 316 336 376 406	-346864326826
STPT(10)	4305838343481030479	0 2 12 14 30 32 48 50 60 62	-32691935838
STPT(10)	4305838458949618571	0 2 30 32 78 80 126 128 156 158	82776652254
SPT(16)	4305838666042545347	0 30 80 92 132 140 170 174 200 204 234 242 282 294 344 374	289869579030
STPT(10)	4305839321619386387	0 2 42 44 72 74 102 104 144 146	945446420070
STPT(10)	4305839433546217079	0 2 42 44 60 62 78 80 120 122	1057373250762
STPT(10)	4305839677248808841	0 2 6 8 18 20 30 32 36 38	1301075842524