Prime p₀= 2428741082313576851 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Roadranner
db: batch=82, k=10, 2 4 2 10 2

TPT(14)	2428738918654960589	0 2 12 14 18 20 42 44 72 74 108 110 138 140	-2163658616262
TPT(16)	2428739108451378641	0 2 18 20 120 122 156 158 228 230 240 242 246 248 270 272	-1973862198210
SPT(16)	2428739438936311733	0 8 26 44 56 60 84 114 290 320 344 348 360 378 396 404	-1643377265118
SPT(16)	2428739732038184041	0 46 88 100 102 112 120 126 142 148 156 166 168 180 222 268	-1350275392810
SPT(16)	2428740148692617003	0 14 48 54 60 66 84 186 188 290 308 314 320 326 360 374	-933620959848
SPT(16)	2428740470444990321	0 6 32 50 60 96 132 140 222 230 266 302 312 330 356 362	-611868586530
SPT(16)	2428741467692738251	0 18 102 118 130 138 162 172 198 208 232 240 252 268 352 370	385379161400
STPT(10)	2428741503312494231	0 2 36 38 78 80 120 122 156 158	420998917380
SPT(16)	2428741552511494001	0 6 42 56 68 96 116 126 152 162 182 210 222 236 272 278	470197917150
SPT(16)	2428742370896763353	0 38 54 80 90 104 108 126 158 176 180 194 204 230 246 284	1288583186502
STPT(12)	2428742889109294529	0 2 30 32 48 50 72 74 90 92 120 122	1806795717678