Prime p₀= 2322232711447123799 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2322230866083430271	0 6 26 36 78 120 126 146 162 182 188 230 272 282 302 308	-1845363693528
SPT(16)	2322231091259946421	0 16 52 70 102 126 142 148 150 156 172 196 228 246 282 298	-1620187177378
STPT(10)	2322231624035659517	0 2 30 32 42 44 54 56 84 86	-1087411464282
SPT(16)	2322232072036453121	0 12 18 26 98 108 122 128 180 186 200 210 282 290 296 308	-639410670678
SPT(16)	2322232272492693101	0 36 38 50 62 66 80 116 132 168 182 186 198 210 212 248	-438954430698
STPT(10)	2322232308364780751	0 2 36 38 78 80 120 122 156 158	-403082343048
STPT(10)	2322232719022661111	0 2 6 8 18 20 30 32 36 38	7575537312
STPT(10)	2322232904633959547	0 2 24 26 42 44 60 62 84 86	193186835748
SPT(16)	2322232908915655091	0 6 30 38 68 96 108 132 146 170 182 210 240 248 272 278	197468531292
SPT(16)	2322233433484582291	0 6 42 46 72 76 90 100 102 112 126 130 156 160 196 202	722037458492
STPT(10)	2322233727393656507	0 2 12 14 72 74 132 134 144 146	1015946532708