Prime p₀= 1586905229576342717 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: emoga
db: batch=78, k=10, 2 28 2 10 2

SPT(16)	1586903844705778307	0 2 14 42 74 90 144 164 210 230 284 300 332 360 372 374	-1384870564410
SPT(16)	1586903869812524867	0 86 90 102 104 134 146 156 260 270 282 312 314 326 330 416	-1359763817850
TPT(14)	1586904050636016017	0 2 24 26 42 44 120 122 204 206 234 236 252 254	-1178940326700
SPT(16)	1586904456581768791	0 10 22 60 70 88 112 136 162 186 210 228 238 276 288 298	-772994573926
SPT(16)	1586904493962132349	0 4 90 112 114 132 138 180 202 244 250 268 270 292 378 382	-735614210368
STPT(10)	1586904501043016927	0 2 30 32 72 74 114 116 144 146	-728533325790
SPT(16)	1586905300185939511	0 16 18 42 72 96 120 126 142 148 172 196 226 250 252 268	70609596794
STPT(10)	1586905813566070937	0 2 30 32 60 62 90 92 120 122	583989728220
STPT(10)	1586905887380904017	0 2 42 44 72 74 102 104 144 146	657804561300
TPT(14)	1586906034615573569	0 2 18 20 60 62 102 104 132 134 162 164 210 212	805039230852
STPT(10)	1586906143614429689	0 2 42 44 120 122 198 200 240 242	914038086972