Prime p₀= 2322134024490045707 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Groo
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2322132331359756173	0 18 20 60 96 98 104 110 174 180 186 188 224 264 266 284	-1693130289534
SPT(16)	2322133197163994437	0 12 34 40 54 82 112 114 142 144 174 202 216 222 244 256	-827326051270
SPT(16)	2322133404027104933	0 14 56 74 84 96 150 200 234 284 338 350 360 378 420 434	-620462940774
SPT(16)	2322133818739260653	0 8 26 44 54 66 78 80 114 116 128 140 150 168 186 194	-205750785054
STPT(10)	2322133823352557897	0 2 12 14 72 74 132 134 144 146	-201137487810
TPT(14)	2322134016829244417	0 2 42 44 90 92 132 134 174 176 252 254 372 374	-7660801290
TPT(14)	2322134392556283089	0 2 30 32 108 110 120 122 168 170 198 200 210 212	368066237382
STPT(10)	2322134856167562299	0 2 42 44 90 92 138 140 180 182	831677516592
SPT(16)	2322135171203648971	0 10 22 66 100 112 126 130 132 136 150 162 196 240 252 262	1146713603264
STPT(10)	2322135337624214051	0 2 30 32 60 62 90 92 120 122	1313134168344
STPT(10)	2322135649024517111	0 2 30 32 78 80 126 128 156 158	1624534471404