Prime p₀= 578527500240583709 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: Tomáš Brada
db: batch=58, k=10, 2 10 2 16 2

SPT(14)	578527416047221567	0 10 36 70 84 94 124 222 252 262 276 310 336 346	-84193362142
SPT(14)	578527437956698297	0 6 30 72 84 90 114 172 196 202 214 256 280 286	-62283885412
SPT(14)	578527458437327543	0 26 96 200 224 270 288 326 344 390 414 518 588 614	-41803256166
SPT(14)	578527460980855783	0 18 46 90 96 106 126 130 150 160 166 210 238 256	-39259727926
SPT(14)	578527478754381329	0 18 20 38 42 50 90 92 132 140 144 162 164 182	-21486202380
SPT(14)	578527495800196721	0 72 102 122 140 146 182 276 312 318 336 356 386 458	-4440386988
SPT(16)	578527508977892231	0 30 32 72 86 90 116 132 140 156 182 186 200 240 242 272	8737308522
SPT(14)	578527512956774551	0 10 42 52 76 108 112 126 130 162 186 196 228 238	12716190842
SPT(14)	578527523751332999	0 30 42 74 78 114 120 152 158 194 198 230 242 272	23510749290
SPT(14)	578527533280654333	0 24 28 84 88 94 124 180 210 216 220 276 280 304	33040070624
SPT(14)	578527563503806381	0 10 22 40 78 82 90 100 108 112 150 168 180 190	63263222672