Prime p₀= 2408236413116404667 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2408235228908501579	0 80 98 104 108 122 152 168 254 270 300 314 318 324 342 422	-1184207903088
STPT(10)	2408235339343271489	0 2 18 20 60 62 102 104 120 122	-1073773133178
SPT(16)	2408235461850608983	0 28 40 48 106 118 154 196 228 270 306 318 376 384 396 424	-951265795684
STPT(10)	2408235775891774691	0 2 36 38 78 80 120 122 156 158	-637224629976
SPT(13)	2408235874169755307	0 54 60 84 90 126 240 354 390 396 420 426 480	-538946649360
SPT(16)	2408236376882789527	0 6 12 16 46 76 114 130 156 172 210 240 270 274 280 286	-36233615140
SPT(16)	2408237288927059543	0 16 24 90 100 108 130 150 154 174 196 204 214 280 288 304	875810654876
STPT(10)	2408237486720289797	0 2 24 26 42 44 60 62 84 86	1073603885130
SPT(16)	2408237773855541321	0 2 30 50 68 92 110 158 180 228 246 270 288 308 336 338	1360739136654
STPT(10)	2408238030204896249	0 2 42 44 90 92 138 140 180 182	1617088491582
STPT(10)	2408238253100903537	0 2 12 14 42 44 72 74 84 86	1839984498870