Prime p₀= 2428741503312494231 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Roadranner
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2428739438936311733	0 8 26 44 56 60 84 114 290 320 344 348 360 378 396 404	-2064376182498
SPT(16)	2428739732038184041	0 46 88 100 102 112 120 126 142 148 156 166 168 180 222 268	-1771274310190
SPT(16)	2428740148692617003	0 14 48 54 60 66 84 186 188 290 308 314 320 326 360 374	-1354619877228
SPT(16)	2428740470444990321	0 6 32 50 60 96 132 140 222 230 266 302 312 330 356 362	-1032867503910
STPT(10)	2428741082313576851	0 2 6 8 18 20 30 32 36 38	-420998917380
SPT(16)	2428741467692738251	0 18 102 118 130 138 162 172 198 208 232 240 252 268 352 370	-35619755980
SPT(16)	2428741552511494001	0 6 42 56 68 96 116 126 152 162 182 210 222 236 272 278	49198999770
SPT(16)	2428742370896763353	0 38 54 80 90 104 108 126 158 176 180 194 204 230 246 284	867584269122
STPT(12)	2428742889109294529	0 2 30 32 48 50 72 74 90 92 120 122	1385796800298
SPT(16)	2428742971718602853	0 20 86 108 114 156 158 188 276 306 308 350 356 378 444 464	1468406108622
STPT(10)	2428743219161563517	0 2 90 92 132 134 174 176 264 266	1715849069286