Prime p₀= 2506499623120659347 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2506498245257591107	0 24 40 52 66 70 76 84 172 180 186 190 204 216 232 256	-1377863068240
SPT(16)	2506498539923448283	0 24 30 76 78 100 114 118 156 160 174 196 198 244 250 274	-1083197211064
TPT(14)	2506498612588001567	0 2 42 44 90 92 174 176 240 242 264 266 312 314	-1010532657780
TPT(14)	2506498693428890051	0 2 36 38 48 50 90 92 126 128 258 260 300 302	-929691769296
SPT(16)	2506498952632785457	0 12 34 72 112 142 154 174 190 210 222 252 292 330 352 364	-670487873890
STPT(10)	2506499246886869321	0 2 6 8 48 50 90 92 96 98	-376233790026
STPT(10)	2506499670523611311	0 2 6 8 48 50 90 92 96 98	47402951964
TPT(14)	2506499682722211287	0 2 24 26 42 44 72 74 114 116 144 146 192 194	59601551940
STPT(10)	2506499796815695127	0 2 42 44 72 74 102 104 144 146	173695035780
STPT(10)	2506499939655502517	0 2 24 26 42 44 60 62 84 86	316534843170
SPT(16)	2506500228179341987	0 6 22 42 60 64 94 120 136 162 192 196 214 234 250 256	605058682640