Prime p₀= 580839264634313987 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: Tomáš Brada
db: batch=58, k=10, 2 28 2 10 2

SPT(14)	580839224432267183	0 8 50 66 74 80 120 164 204 210 218 234 276 284	-40202046804
SPT(14)	580839232374324491	0 8 50 72 110 116 162 176 222 228 266 288 330 338	-32259989496
SPT(14)	580839242459426441	0 30 86 98 108 116 140 168 192 200 210 222 278 308	-22174887546
SPT(14)	580839243240765373	0 34 40 148 156 168 196 258 286 298 306 414 420 454	-21393548614
SPT(14)	580839254191840753	0 30 64 84 90 96 114 130 148 154 160 180 214 244	-10442473234
SPT(14)	580839254892459811	0 6 36 52 66 106 132 136 162 202 216 232 262 268	-9741854176
TPT(12)	580839269169417059	0 2 18 20 42 44 90 92 102 104 180 182	4535103072
SPT(16)	580839349224596689	0 24 54 58 78 84 94 100 132 138 148 154 174 178 208 232	84590282702
SPT(14)	580839368968264213	0 10 34 36 40 78 118 156 196 234 238 240 264 274	104333950226
TPT(12)	580839387665998841	0 2 18 20 30 32 48 50 78 80 90 92	123031684854
TPT(12)	580839395101075001	0 2 36 38 78 80 90 92 108 110 138 140	130466761014