Prime p₀= 857422871531070599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: scrap
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	857422267903327211	0 12 50 72 92 128 138 140 180 182 192 228 248 270 308 320	-603627743388
TPT(14)	857422337392651361	0 2 36 38 60 62 126 128 168 170 198 200 210 212	-534138419238
STPT(10)	857422464573505949	0 2 18 20 30 32 42 44 60 62	-406957564650
STPT(10)	857422554216228797	0 2 24 26 42 44 60 62 84 86	-317314841802
SPT(16)	857422568134187353	0 18 84 88 114 124 148 214 264 330 354 364 390 394 460 478	-303396883246
SPT(16)	857422823997682519	0 22 40 58 84 100 120 148 174 202 222 238 264 282 300 322	-47533388080
STPT(10)	857423166636151361	0 2 36 38 78 80 120 122 156 158	295105080762
SPT(16)	857423521238751667	0 22 54 84 300 334 364 376 420 432 462 496 712 742 774 796	649707681068
SPT(16)	857423619610688401	0 12 46 88 130 166 168 172 216 220 222 258 300 342 376 388	748079617802
STPT(10)	857423744147216459	0 2 48 50 90 92 132 134 180 182	872616145860
SPT(16)	857423819131321913	0 8 30 38 48 60 78 98 108 128 146 158 168 176 198 206	947600251314