Prime p₀= 1585946999474483717 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)	1585944945763780999	0 24 112 132 154 180 190 192 220 222 232 258 280 300 388 412	-2053710702718
STPT(10)	1585944979429939109	0 2 18 20 60 62 102 104 120 122	-2020044544608
SPT(16)	1585945595407311839	0 32 42 72 108 122 138 158 204 224 240 254 290 320 330 362	-1404067171878
SPT(16)	1585945666724498477	0 6 24 60 72 84 102 114 182 194 212 224 236 272 290 296	-1332749985240
SPT(16)	1585946105806154447	0 32 56 92 116 120 122 132 134 144 146 150 174 210 234 266	-893668329270
STPT(10)	1585946667294532061	0 2 36 38 78 80 120 122 156 158	-332179951656
TPT(16)	1585947109791412601	0 2 6 8 48 50 60 62 228 230 330 332 396 398 510 512	110316928884
SPT(16)	1585947122215003061	0 8 12 20 26 62 78 92 126 140 156 192 198 206 210 218	122740519344
STPT(10)	1585947195248065619	0 2 12 14 30 32 48 50 60 62	195773581902
STPT(10)	1585947230109786287	0 2 84 86 102 104 120 122 204 206	230635302570
STPT(10)	1585947266857290047	0 2 60 62 72 74 84 86 144 146	267382806330