Prime p₀= 1586021019851642189 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: Icecold
db: batch=78, k=10, 2 10 2 16 2

SPT(16)	1586020429081502111	0 8 62 66 98 132 140 146 162 168 176 210 242 246 300 308	-590770140078
STPT(10)	1586020729340746337	0 2 60 62 72 74 84 86 144 146	-290510895852
SPT(16)	1586020859507691361	0 16 60 118 156 186 208 222 256 270 292 322 360 418 462 478	-160343950828
STPT(10)	1586020862689009841	0 2 6 8 48 50 90 92 96 98	-157162632348
STPT(10)	1586020914045712049	0 2 42 44 90 92 138 140 180 182	-105805930140
SPT(16)	1586020957374569119	0 4 34 40 48 70 82 130 132 180 192 214 222 228 258 262	-62477073070
SPT(16)	1586021048441341249	0 34 64 70 82 124 154 162 202 210 240 282 294 300 330 364	28589699060
SPT(16)	1586021092384062953	0 24 54 78 80 86 114 150 194 230 258 264 266 290 320 344	72532420764
SPT(16)	1586021231692190081	0 18 66 68 96 120 176 228 350 402 458 482 510 512 560 578	211840547892
STPT(10)	1586021644002256847	0 2 12 14 42 44 72 74 84 86	624150614658
SPT(16)	1586021684298337463	0 24 66 74 80 108 116 146 168 198 206 234 240 248 290 314	664446695274