Prime p₀= 1588459555017712847 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

STPT(10)	1588457994561663521	0 2 6 8 18 20 30 32 36 38	-1560456049326
TPT(14)	1588458736608503531	0 2 48 50 120 122 168 170 258 260 300 302 336 338	-818409209316
TPT(14)	1588459017949572887	0 2 60 62 180 182 240 242 282 284 354 356 420 422	-537068139960
SPT(16)	1588459138675602311	0 20 62 152 188 210 216 228 230 242 248 270 306 396 438 458	-416342110536
SPT(16)	1588459299459129901	0 6 18 30 52 90 136 156 172 192 238 276 298 310 322 328	-255558582946
SPT(16)	1588459449400247737	0 4 54 60 82 84 106 112 144 150 172 174 196 202 252 256	-105617465110
SPT(16)	1588459916711853149	0 18 48 68 74 122 132 144 188 200 210 258 264 284 314 332	361694140302
STPT(10)	1588459925080327457	0 2 54 56 72 74 90 92 144 146	370062614610
TPT(14)	1588460184745304111	0 2 90 92 150 152 168 170 180 182 216 218 246 248	629727591264
SPT(16)	1588460185247461523	0 20 78 138 188 200 210 260 264 314 324 336 386 446 504 524	630229748676
SPT(16)	1588460212499534237	0 12 26 56 62 110 140 162 194 216 246 294 300 330 344 356	657481821390